12099572661136 has 135 divisors (see below), whose sum is σ = 25449039444339. Its totient is φ = 5571966392064.

The previous prime is 12099572661119. The next prime is 12099572661157. The reversal of 12099572661136 is 63116627599021.

The square root of 12099572661136 is 3478444.

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 5296239438736 + 6803333222400 = 2301356^2 + 2608320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9781383910 + ... + 9781385146.

Almost surely, 2^{12099572661136} is an apocalyptic number.

12099572661136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12099572661136 is the 3478444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12099572661136

12099572661136 is an abundant number, since it is smaller than the sum of its proper divisors (13349466783203).

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

12099572661136 is an frugal number, since it uses more digits than its factorization.

12099572661136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 12099572661136 in words is "twelve trillion, ninety-nine billion, five hundred seventy-two million, six hundred sixty-one thousand, one hundred thirty-six".