11231642707200 has 162 divisors, whose sum is σ = 40155657803534. Its totient is φ = 2995104706560.

The previous prime is 11231642707199. The next prime is 11231642707211. The reversal of 11231642707200 is 270724613211.

11231642707200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 642 + 7 + 0 + 7 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1707851695104 + 9523791012096 = 1306848^2 + 3086064^2 .

It is a super-2 number, since 2×11231642707200² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97439299 + ... + 97554498.

Almost surely, 2^{11231642707200} is an apocalyptic number.

11231642707200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11231642707200 is an abundant number, since it is smaller than the sum of its proper divisors (28924015096334).

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

11231642707200 is a wasteful number, since it uses less digits than its factorization.

11231642707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194993829 (or 194993807 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11231642707200 in words is "eleven trillion, two hundred thirty-one billion, six hundred forty-two million, seven hundred seven thousand, two hundred".