12531335520000 has 720 divisors, whose sum is σ = 46433197020672. Its totient is φ = 2973204480000.

The previous prime is 12531335519981. The next prime is 12531335520107. The reversal of 12531335520000 is 2553313521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12531335520000.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 248134752 + ... + 248185248.

Almost surely, 2^{12531335520000} is an apocalyptic number.

12531335520000 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 12531335520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23216598510336).

12531335520000 is an abundant number, since it is smaller than the sum of its proper divisors (33901861500672).

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

12531335520000 is an equidigital number, since it uses as much as digits as its factorization.

12531335520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50594 (or 50565 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 12531335520000 its reverse (2553313521), we get a palindrome (12533888833521).

The spelling of 12531335520000 in words is "twelve trillion, five hundred thirty-one billion, three hundred thirty-five million, five hundred twenty thousand".