11231665200 has 960 divisors, whose sum is σ = 48711168000. Its totient is φ = 2403717120.

The previous prime is 11231665177. The next prime is 11231665201. The reversal of 11231665200 is 256613211.

11231665200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 6 + 652 + 0 + 0 = 666.

11231665200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11231665201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103042746 + ... + 103042854.

It is an arithmetic number, because the mean of its divisors is an integer number (50740800).

Almost surely, 2^11231665200 is an apocalyptic number.

11231665200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584000).

11231665200 is an abundant number, since it is smaller than the sum of its proper divisors (37479502800).

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

11231665200 is a wasteful number, since it uses less digits than its factorization.

11231665200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11231665200 in words is "eleven billion, two hundred thirty-one million, six hundred sixty-five thousand, two hundred".