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12001113022230 = 23351032931472831
BaseRepresentation
bin1010111010100011101000…
…0101000001111100010110
31120111021222012102111021000
42232220322011001330112
53033111234413202410
641305122450004130
72346023524363203
oct256507205017426
946437865374230
1012001113022230
113907709483992
121419a90576646
1369091417c917
142d6bdd74acaa
1515c29a9c9dc0
hexaea3a141f16

12001113022230 has 128 divisors (see below), whose sum is σ = 32423984087040. Its totient is φ = 3158407347840.

The previous prime is 12001113022193. The next prime is 12001113022231. The reversal of 12001113022230 is 3222031110021.

12001113022230 is a `hidden beast` number, since 1 + 20 + 0 + 111 + 302 + 2 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001113022231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7411915 + ... + 8884745.

It is an arithmetic number, because the mean of its divisors is an integer number (253312375680).

Almost surely, 212001113022230 is an apocalyptic number.

12001113022230 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 12001113022230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211992043520).

12001113022230 is an abundant number, since it is smaller than the sum of its proper divisors (20422871064810).

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

12001113022230 is a wasteful number, since it uses less digits than its factorization.

12001113022230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473243 (or 1473237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001113022230 its reverse (3222031110021), we get a palindrome (15223144132251).

The spelling of 12001113022230 in words is "twelve trillion, one billion, one hundred thirteen million, twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 293 309 515 586 618 879 927 1030 1465 1545 1758 1854 2637 2781 2930 3090 4395 4635 5274 5562 7911 8790 9270 13185 13905 15822 26370 27810 30179 39555 60358 79110 90537 150895 181074 271611 301790 452685 543222 814833 905370 1358055 1472831 1629666 2716110 2945662 4074165 4418493 7364155 8148330 8836986 13255479 14728310 22092465 26510958 39766437 44184930 66277395 79532874 132554790 151701593 198832185 303403186 397664370 431539483 455104779 758507965 863078966 910209558 1294618449 1365314337 1517015930 2157697415 2275523895 2589236898 2730628674 3883855347 4095943011 4315394830 4551047790 6473092245 6826571685 7767710694 8191886022 11651566041 12946184490 13653143370 19419276735 20479715055 23303132082 38838553470 40959430110 44448566749 58257830205 88897133498 116515660410 133345700247 222242833745 266691400494 400037100741 444485667490 666728501235 800074201482 1200111302223 1333457002470 2000185503705 2400222604446 4000371007410 6000556511115 12001113022230