12030880725136 has 225 divisors, whose sum is σ = 29415195359181. Its totient is φ = 4752976161024.

The previous prime is 12030880725113. The next prime is 12030880725187. The reversal of 12030880725136 is 63152708803021.

The square root of 12030880725136 is 3468556.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7720506816400 + 4310373908736 = 2778580^2 + 2076144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16413206626 + ... + 16413207358.

Almost surely, 2^{12030880725136} is an apocalyptic number.

12030880725136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12030880725136 is the 3468556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030880725136

12030880725136 is an abundant number, since it is smaller than the sum of its proper divisors (17384314634045).

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

12030880725136 is an frugal number, since it uses more digits than its factorization.

12030880725136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 12030880725136 in words is "twelve trillion, thirty billion, eight hundred eighty million, seven hundred twenty-five thousand, one hundred thirty-six".