12930151605904 has 45 divisors (see below), whose sum is σ = 27127888623369. Its totient is φ = 5967675979200.

The previous prime is 12930151605859. The next prime is 12930151605949. The reversal of 12930151605904 is 40950615103921.

It is a happy number.

The square root of 12930151605904 is 3595852.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12930151605859) and next prime (12930151605949).

It can be written as a sum of positive squares in only one way, i.e., 1912744320400 + 11017407285504 = 1383020^2 + 3319248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 186949729 + ... + 187018879.

Almost surely, 2^{12930151605904} is an apocalyptic number.

12930151605904 is the 3595852-nd square number.

It is an amenable number.

12930151605904 is an abundant number, since it is smaller than the sum of its proper divisors (14197737017465).

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

12930151605904 is an frugal number, since it uses more digits than its factorization.

12930151605904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138336 (or 69166 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 12930151605904 in words is "twelve trillion, nine hundred thirty billion, one hundred fifty-one million, six hundred five thousand, nine hundred four".