12133903716 has 81 divisors (see below), whose sum is σ = 33733856793. Its totient is φ = 3674737440.

The previous prime is 12133903679. The next prime is 12133903721. The reversal of 12133903716 is 61730933121.

The square root of 12133903716 is 110154.

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., 6472846116 + 5661057600 = 80454^2 + 75240^2 .

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

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, 7269330 + ... + 7270998.

Almost surely, 2^12133903716 is an apocalyptic number.

12133903716 is the 110154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133903716

12133903716 is an abundant number, since it is smaller than the sum of its proper divisors (21599953077).

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

12133903716 is a wasteful number, since it uses less digits than its factorization.

12133903716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

Multiplying 12133903716 by its sum of digits (36), we get a square (436820533776 = 660924²).

12133903716 divided by its sum of digits (36) gives a square (337052881 = 18359²).

It can be divided in two parts, 12133 and 903716, that added together give a square (915849 = 957²).

The spelling of 12133903716 in words is "twelve billion, one hundred thirty-three million, nine hundred three thousand, seven hundred sixteen".