12468657952800 has 3024 divisors, whose sum is σ = 55463809151520. Its totient is φ = 2725815214080.

The previous prime is 12468657952759. The next prime is 12468657952813. The reversal of 12468657952800 is 825975686421.

12468657952800 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 8 + 6 + 579 + 52 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×12468657952800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 89702575131 + ... + 89702575269.

It is an arithmetic number, because the mean of its divisors is an integer number (18341206730).

Almost surely, 2^{12468657952800} is an apocalyptic number.

12468657952800 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 12468657952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27731904575760).

12468657952800 is an abundant number, since it is smaller than the sum of its proper divisors (42995151198720).

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

12468657952800 is a wasteful number, since it uses less digits than its factorization.

12468657952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 12468657952800 in words is "twelve trillion, four hundred sixty-eight billion, six hundred fifty-seven million, nine hundred fifty-two thousand, eight hundred".