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12324046900 = 22521131361409
BaseRepresentation
bin10110111101001001…
…00000100000110100
31011210212212110010111
423132210200200310
5200214424000100
65354523032404
7614254445614
oct133644404064
934725773114
1012324046900
11525466a930
12247b36b704
131215331a59
1484ca90a44
154c1e2e6ba
hex2de920834

12324046900 has 72 divisors (see below), whose sum is σ = 30115572480. Its totient is φ = 4336896000.

The previous prime is 12324046877. The next prime is 12324046907. The reversal of 12324046900 is 964042321.

It is a happy number.

It is a super-2 number, since 2×123240469002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12324046907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146605 + ... + 214804.

It is an arithmetic number, because the mean of its divisors is an integer number (418271840).

Almost surely, 212324046900 is an apocalyptic number.

12324046900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324046900 is an abundant number, since it is smaller than the sum of its proper divisors (17791525580).

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

12324046900 is a wasteful number, since it uses less digits than its factorization.

12324046900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361465 (or 361458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 12324046900 in words is "twelve billion, three hundred twenty-four million, forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 361409 722818 1445636 1807045 3614090 3975499 7228180 7950998 9035225 11203679 15901996 18070450 19877495 22407358 36140900 39754990 44814716 56018395 79509980 99387475 112036790 123240469 198774950 224073580 246480938 280091975 397549900 492961876 560183950 616202345 1120367900 1232404690 2464809380 3081011725 6162023450 12324046900