12064825600 has 81 divisors (see below), whose sum is σ = 29884094023. Its totient is φ = 4822415360.

The previous prime is 12064825567. The next prime is 12064825667. The reversal of 12064825600 is 652846021.

The square root of 12064825600 is 109840.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3141378304 + 8923447296 = 56048^2 + 94464^2 .

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, 8786514 + ... + 8787886.

Almost surely, 2^12064825600 is an apocalyptic number.

12064825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12064825600 is the 109840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12064825600

12064825600 is an abundant number, since it is smaller than the sum of its proper divisors (17819268423).

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

12064825600 is an frugal number, since it uses more digits than its factorization.

12064825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 12064825600 in words is "twelve billion, sixty-four million, eight hundred twenty-five thousand, six hundred".