113322200011200 has 504 divisors, whose sum is σ = 420410442830976. Its totient is φ = 28896797952000.

The previous prime is 113322200011183. The next prime is 113322200011217. The reversal of 113322200011200 is 2110002223311.

113322200011200 is a `hidden beast` number, since 1 + 1 + 332 + 220 + 0 + 0 + 112 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113322200011183) and next prime (113322200011217).

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

It is a congruent number.

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, 1156170195 + ... + 1156268205.

Almost surely, 2^{113322200011200} is an apocalyptic number.

113322200011200 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 113322200011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210205221415488).

113322200011200 is an abundant number, since it is smaller than the sum of its proper divisors (307088242819776).

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

113322200011200 is a wasteful number, since it uses less digits than its factorization.

113322200011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101553 (or 101535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113322200011200 its reverse (2110002223311), we get a palindrome (115432202234511).

The spelling of 113322200011200 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred million, eleven thousand, two hundred".