11872211600 has 30 divisors (see below), whose sum is σ = 28522989330. Its totient is φ = 4748884480.

The previous prime is 11872211563. The next prime is 11872211627. The reversal of 11872211600 is 611227811.

It can be written as a sum of positive squares in 3 ways, for example, as 366645904 + 11505565696 = 19148^2 + 107264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14839865 + ... + 14840664.

It is an arithmetic number, because the mean of its divisors is an integer number (950766311).

Almost surely, 2^11872211600 is an apocalyptic number.

11872211600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11872211600 is an abundant number, since it is smaller than the sum of its proper divisors (16650777730).

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

11872211600 is a wasteful number, since it uses less digits than its factorization.

11872211600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29680547 (or 29680536 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 11872211600 in words is "eleven billion, eight hundred seventy-two million, two hundred eleven thousand, six hundred".