112313221200 has 180 divisors, whose sum is σ = 389920722048. Its totient is φ = 29937696000.

The previous prime is 112313221199. The next prime is 112313221261. The reversal of 112313221200 is 2122313211.

112313221200 is a `hidden beast` number, since 11 + 231 + 3 + 221 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112313221200² (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11396275 + ... + 11406125.

Almost surely, 2^112313221200 is an apocalyptic number.

112313221200 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 112313221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194960361024).

112313221200 is an abundant number, since it is smaller than the sum of its proper divisors (277607500848).

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

112313221200 is a wasteful number, since it uses less digits than its factorization.

112313221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13028 counting only the distinct ones).

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

Adding to 112313221200 its reverse (2122313211), we get a palindrome (114435534411).

The spelling of 112313221200 in words is "one hundred twelve billion, three hundred thirteen million, two hundred twenty-one thousand, two hundred".