11112012331200 has 504 divisors, whose sum is σ = 44249630870640. Its totient is φ = 2621013811200.

The previous prime is 11112012331177. The next prime is 11112012331267. The reversal of 11112012331200 is 213321021111.

11112012331200 is a `hidden beast` number, since 1 + 1 + 1 + 120 + 12 + 331 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4912806 + ... + 6808794.

Almost surely, 2^{11112012331200} is an apocalyptic number.

11112012331200 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 11112012331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124815435320).

11112012331200 is an abundant number, since it is smaller than the sum of its proper divisors (33137618539440).

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

11112012331200 is a wasteful number, since it uses less digits than its factorization.

11112012331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896065 (or 1896047 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11112012331200 its reverse (213321021111), we get a palindrome (11325333352311).

The spelling of 11112012331200 in words is "eleven trillion, one hundred twelve billion, twelve million, three hundred thirty-one thousand, two hundred".