12750248015232 has 1152 divisors, whose sum is σ = 44318017797120. Its totient is φ = 3233522073600.

The previous prime is 12750248015203. The next prime is 12750248015237. The reversal of 12750248015232 is 23251084205721.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12750248015237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20799751758 + ... + 20799752370.

It is an arithmetic number, because the mean of its divisors is an integer number (38470501560).

Almost surely, 2^{12750248015232} is an apocalyptic number.

12750248015232 is a gapful number since it is divisible by the number (12) 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 12750248015232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22159008898560).

12750248015232 is an abundant number, since it is smaller than the sum of its proper divisors (31567769781888).

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

12750248015232 is a wasteful number, since it uses less digits than its factorization.

12750248015232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 12750248015232 in words is "twelve trillion, seven hundred fifty billion, two hundred forty-eight million, fifteen thousand, two hundred thirty-two".