12523750400000 has 672 divisors, whose sum is σ = 37891453791744. Its totient is φ = 4040294400000.

The previous prime is 12523750399991. The next prime is 12523750400003. The reversal of 12523750400000 is 405732521.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12523750400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3046397945 + ... + 3046402055.

It is an arithmetic number, because the mean of its divisors is an integer number (56386091952).

Almost surely, 2^{12523750400000} is an apocalyptic number.

12523750400000 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 12523750400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18945726895872).

12523750400000 is an abundant number, since it is smaller than the sum of its proper divisors (25367703391744).

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

12523750400000 is an frugal number, since it uses more digits than its factorization.

12523750400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The spelling of 12523750400000 in words is "twelve trillion, five hundred twenty-three billion, seven hundred fifty million, four hundred thousand".