12257943104000 has 640 divisors, whose sum is σ = 34879144734720. Its totient is φ = 4253263872000.

The previous prime is 12257943103999. The next prime is 12257943104041. The reversal of 12257943104000 is 40134975221.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 10022847389 + ... + 10022848611.

It is an arithmetic number, because the mean of its divisors is an integer number (54498663648).

Almost surely, 2^{12257943104000} is an apocalyptic number.

12257943104000 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 12257943104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439572367360).

12257943104000 is an abundant number, since it is smaller than the sum of its proper divisors (22621201630720).

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

12257943104000 is a wasteful number, since it uses less digits than its factorization.

12257943104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 12257943104000 in words is "twelve trillion, two hundred fifty-seven billion, nine hundred forty-three million, one hundred four thousand".