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12212021220100 = 225213411523150439
BaseRepresentation
bin1011000110110101010100…
…1011111101001100000100
31121020110100202102001010221
42301231111023331030010
53100040204413020400
641550043004354124
72400201161443312
oct261552513751404
947213322361127
1012212021220100
1139890a8680649
121452931245944
136a7786393140
143030ca4430b2
151629e1907c1a
hexb1b552fd304

12212021220100 has 144 divisors (see below), whose sum is σ = 29254006373760. Its totient is φ = 4396159411200.

The previous prime is 12212021220097. The next prime is 12212021220109. The reversal of 12212021220100 is 102212021221.

It is a happy number.

12212021220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12212021220109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81100681 + ... + 81251119.

It is an arithmetic number, because the mean of its divisors is an integer number (203152822040).

Almost surely, 212212021220100 is an apocalyptic number.

12212021220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212021220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627003186880).

12212021220100 is an abundant number, since it is smaller than the sum of its proper divisors (17041985153660).

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

12212021220100 is a wasteful number, since it uses less digits than its factorization.

12212021220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152030 (or 152023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212021220100 its reverse (102212021221), we get a palindrome (12314233241321).

The spelling of 12212021220100 in words is "twelve trillion, two hundred twelve billion, twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 1523 2050 2132 2665 3046 4100 5330 6092 7615 10660 13325 15230 19799 26650 30460 38075 39598 53300 62443 76150 79196 98995 124886 150439 152300 197990 249772 300878 312215 395980 494975 601756 624430 752195 811759 989950 1248860 1504390 1561075 1623518 1955707 1979900 3008780 3122150 3247036 3760975 3911414 4058795 6167999 6244300 7521950 7822828 8117590 9778535 12335998 15043900 16235180 19557070 20293975 24671996 30839995 39114140 40587950 48892675 61679990 80183987 81175900 97785350 123359980 154199975 160367974 195570700 229118597 308399950 320735948 400919935 458237194 616799900 801839870 916474388 1145592985 1603679740 2004599675 2291185970 2978541761 4009199350 4582371940 5727964925 5957083522 8018398700 9393862477 11455929850 11914167044 14892708805 18787724954 22911859700 29785417610 37575449908 46969312385 59570835220 74463544025 93938624770 122120212201 148927088050 187877249540 234846561925 244240424402 297854176100 469693123850 488480848804 610601061005 939386247700 1221202122010 2442404244020 3053005305025 6106010610050 12212021220100