12578071104 has 63 divisors (see below), whose sum is σ = 36060486553. Its totient is φ = 4191793152.

The previous prime is 12578071069. The next prime is 12578071147. The reversal of 12578071104 is 40117087521.

The square root of 12578071104 is 112152.

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

12578071104 is a `hidden beast` number, since 1 + 2 + 578 + 0 + 71 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12056040000 + 522031104 = 109800^2 + 22848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2689312 + ... + 2693984.

Almost surely, 2^12578071104 is an apocalyptic number.

12578071104 is the 112152-nd square number.

It is an amenable number.

12578071104 is an abundant number, since it is smaller than the sum of its proper divisors (23482415449).

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

12578071104 is an frugal number, since it uses more digits than its factorization.

12578071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Multiplying 12578071104 by its sum of digits (36), we get a square (452810559744 = 672912²).

12578071104 divided by its sum of digits (36) gives a square (349390864 = 18692²).

The spelling of 12578071104 in words is "twelve billion, five hundred seventy-eight million, seventy-one thousand, one hundred four".