12001640704 has 81 divisors (see below), whose sum is σ = 24702869821. Its totient is φ = 5819402240.

The previous prime is 12001640657. The next prime is 12001640759. The reversal of 12001640704 is 40704610021.

The square root of 12001640704 is 109552.

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., 578306304 + 11423334400 = 24048^2 + 106880^2 .

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, 71866029 + ... + 71866195.

Almost surely, 2^12001640704 is an apocalyptic number.

12001640704 is the 109552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001640704

12001640704 is an abundant number, since it is smaller than the sum of its proper divisors (12701229117).

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

12001640704 is an frugal number, since it uses more digits than its factorization.

12001640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Multiplying 12001640704 by its sum of digits (25), we get a square (300041017600 = 547760²).

The spelling of 12001640704 in words is "twelve billion, one million, six hundred forty thousand, seven hundred four".