11331200300112 has 360 divisors, whose sum is σ = 40042576263872. Its totient is φ = 2927913246720.

The previous prime is 11331200300111. The next prime is 11331200300149. The reversal of 11331200300112 is 21100300213311.

11331200300112 is a `hidden beast` number, since 1 + 1 + 331 + 20 + 0 + 300 + 1 + 12 = 666.

It is a super-2 number, since 2×11331200300112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331200300111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23299143 + ... + 23780505.

Almost surely, 2^{11331200300112} is an apocalyptic number.

11331200300112 is a gapful number since it is divisible by the number (12) 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 11331200300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021288131936).

11331200300112 is an abundant number, since it is smaller than the sum of its proper divisors (28711375963760).

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

11331200300112 is a wasteful number, since it uses less digits than its factorization.

11331200300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481599 (or 481579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331200300112 its reverse (21100300213311), we get a palindrome (32431500513423).

The spelling of 11331200300112 in words is "eleven trillion, three hundred thirty-one billion, two hundred million, three hundred thousand, one hundred twelve".