12425800682400 has 576 divisors, whose sum is σ = 50334678374400. Its totient is φ = 2597915013120.

The previous prime is 12425800682377. The next prime is 12425800682417. The reversal of 12425800682400 is 428600852421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8585629 + ... + 9927971.

It is an arithmetic number, because the mean of its divisors is an integer number (87386594400).

Almost surely, 2^{12425800682400} is an apocalyptic number.

12425800682400 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 12425800682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25167339187200).

12425800682400 is an abundant number, since it is smaller than the sum of its proper divisors (37908877692000).

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

12425800682400 is a wasteful number, since it uses less digits than its factorization.

12425800682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342421 (or 1342408 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 12425800682400 in words is "twelve trillion, four hundred twenty-five billion, eight hundred million, six hundred eighty-two thousand, four hundred".