12512325849600 has 480 divisors, whose sum is σ = 41568253657920. Its totient is φ = 3317736407040.

The previous prime is 12512325849589. The next prime is 12512325849613. The reversal of 12512325849600 is 694852321521.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12512325849600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082661836 + ... + 11082662964.

It is an arithmetic number, because the mean of its divisors is an integer number (86600528454).

Almost surely, 2^{12512325849600} is an apocalyptic number.

12512325849600 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 12512325849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784126828960).

12512325849600 is an abundant number, since it is smaller than the sum of its proper divisors (29055927808320).

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

12512325849600 is a wasteful number, since it uses less digits than its factorization.

12512325849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 12512325849600 in words is "twelve trillion, five hundred twelve billion, three hundred twenty-five million, eight hundred forty-nine thousand, six hundred".