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12238269129 = 3341107277373
BaseRepresentation
bin10110110010111010…
…10010101011001001
31011120220110111011000
423121131102223021
5200030444103004
65342220325213
7612163366632
oct133135225311
934526414130
1012238269129
115210202809
1224566a3809
13120062a888
14841522889
154b9638c39
hex2d9752ac9

12238269129 has 64 divisors (see below), whose sum is σ = 18864679680. Its totient is φ = 7835927040.

The previous prime is 12238269101. The next prime is 12238269137. The reversal of 12238269129 is 92196283221.

It is not a de Polignac number, because 12238269129 - 25 = 12238269097 is a prime.

It is a super-3 number, since 3×122382691293 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12238261129) 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, 32810187 + ... + 32810559.

It is an arithmetic number, because the mean of its divisors is an integer number (294760620).

Almost surely, 212238269129 is an apocalyptic number.

It is an amenable number.

12238269129 is a deficient number, since it is larger than the sum of its proper divisors (6626410551).

12238269129 is a wasteful number, since it uses less digits than its factorization.

12238269129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 12238269129 in words is "twelve billion, two hundred thirty-eight million, two hundred sixty-nine thousand, one hundred twenty-nine".

Divisors: 1 3 9 27 41 107 123 277 321 369 373 831 963 1107 1119 2493 2889 3357 4387 7479 10071 11357 13161 15293 29639 34071 39483 39911 45879 88917 102213 103321 118449 119733 137637 266751 306639 309963 359199 412911 800253 929889 1077597 1215199 1636351 2789667 3645597 4236161 4909053 10936791 11055347 12708483 14727159 32810373 33166041 38125449 44181477 99498123 114376347 298494369 453269227 1359807681 4079423043 12238269129