12739131525120 has 1728 divisors, whose sum is σ = 55456983953280. Its totient is φ = 2442626334720.

The previous prime is 12739131525097. The next prime is 12739131525161. The reversal of 12739131525120 is 2152513193721.

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

It is a congruent number.

It is an unprimeable number.

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, 4397351512 + ... + 4397354408.

It is an arithmetic number, because the mean of its divisors is an integer number (32093162010).

Almost surely, 2^{12739131525120} is an apocalyptic number.

12739131525120 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 12739131525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27728491976640).

12739131525120 is an abundant number, since it is smaller than the sum of its proper divisors (42717852428160).

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

12739131525120 is a wasteful number, since it uses less digits than its factorization.

12739131525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 12739131525120 in words is "twelve trillion, seven hundred thirty-nine billion, one hundred thirty-one million, five hundred twenty-five thousand, one hundred twenty".