12081547125904 has 45 divisors (see below), whose sum is σ = 24470633800249. Its totient is φ = 5777978296640.

The previous prime is 12081547125887. The next prime is 12081547125979. The reversal of 12081547125904 is 40952174518021.

The square root of 12081547125904 is 3475852.

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

It can be written as a sum of positive squares in only one way, i.e., 10027026236304 + 2054520889600 = 3166548^2 + 1433360^2 .

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, 319759494 + ... + 319797274.

Almost surely, 2^{12081547125904} is an apocalyptic number.

12081547125904 is the 3475852-nd square number.

It is an amenable number.

12081547125904 is an abundant number, since it is smaller than the sum of its proper divisors (12389086674345).

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

12081547125904 is an frugal number, since it uses more digits than its factorization.

12081547125904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75616 (or 37806 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

Multiplying 12081547125904 by its sum of digits (49), we get a square (591995809169296 = 24330964²).

The spelling of 12081547125904 in words is "twelve trillion, eighty-one billion, five hundred forty-seven million, one hundred twenty-five thousand, nine hundred four".