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12397152000 = 28353296173
BaseRepresentation
bin10111000101110110…
…11000011100000000
31011222222102120110210
423202323120130000
5200342132331000
65410053554120
7616133024202
oct134273303400
934888376423
1012397152000
115291961872
12249b945940
1312275199cc
14858680772
154c8570350
hex2e2ed8700

12397152000 has 576 divisors, whose sum is σ = 43888440960. Its totient is φ = 3096576000.

The previous prime is 12397151989. The next prime is 12397152011. The reversal of 12397152000 is 25179321.

It is an interprime number because it is at equal distance from previous prime (12397151989) and next prime (12397152011).

It is a super-2 number, since 2×123971520002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169823964 + ... + 169824036.

It is an arithmetic number, because the mean of its divisors is an integer number (76195210).

Almost surely, 212397152000 is an apocalyptic number.

12397152000 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 12397152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21944220480).

12397152000 is an abundant number, since it is smaller than the sum of its proper divisors (31491288960).

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

12397152000 is an equidigital number, since it uses as much as digits as its factorization.

12397152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 12397152000 in words is "twelve billion, three hundred ninety-seven million, one hundred fifty-two thousand".