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12221212220010 = 2345194969159811
BaseRepresentation
bin1011000111010111100100…
…0000110101101001101010
31121021100002021220012210000
42301311321000311221222
53100213020312020020
641554203011403430
72400645013605363
oct261657100655152
947240067805700
1012221212220010
113991a94767942
1214546772b3576
136a85bc599021
1430371cd76b6a
15162d7d762090
hexb1d79035a6a

12221212220010 has 160 divisors (see below), whose sum is σ = 34598211278400. Its totient is φ = 3086823479040.

The previous prime is 12221212219949. The next prime is 12221212220011. The reversal of 12221212220010 is 1002221212221.

It is a happy number.

12221212220010 is a `hidden beast` number, since 1 + 2 + 221 + 212 + 220 + 0 + 10 = 666.

12221212220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12221212220011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76393005 + ... + 76552815.

It is an arithmetic number, because the mean of its divisors is an integer number (216238820490).

Almost surely, 212221212220010 is an apocalyptic number.

12221212220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221212220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299105639200).

12221212220010 is an abundant number, since it is smaller than the sum of its proper divisors (22376999058390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221212220010 is a wasteful number, since it uses less digits than its factorization.

12221212220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164818 (or 164809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221212220010 its reverse (1002221212221), we get a palindrome (13223433432231).

The spelling of 12221212220010 in words is "twelve trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 4969 5130 7695 9938 14907 15390 24845 29814 44721 49690 74535 89442 94411 134163 149070 159811 188822 223605 268326 283233 319622 402489 447210 472055 479433 566466 670815 799055 804978 849699 944110 958866 1341630 1416165 1438299 1598110 1699398 2012445 2397165 2549097 2832330 2876598 3036409 4024890 4248495 4314897 4794330 5098194 6072818 7191495 7647291 8496990 8629794 9109227 12745485 12944691 14382990 15182045 15294582 18218454 21574485 25490970 25889382 27327681 30364090 38236455 43148970 45546135 54655362 64723455 76472910 81983043 91092270 129446910 136638405 163966086 245949129 273276810 409915215 491898258 794100859 819830430 1229745645 1588201718 2382302577 2459491290 3970504295 4764605154 7146907731 7941008590 11911512885 14293815462 15087916321 21440723193 23823025770 30175832642 35734538655 42881446386 45263748963 64322169579 71469077310 75439581605 90527497926 107203615965 128644339158 135791246889 150879163210 214407231930 226318744815 271582493778 321610847895 407373740667 452637489630 643221695790 678956234445 814747481334 1222121222001 1357912468890 2036868703335 2444242444002 4073737406670 6110606110005 12221212220010