113322112200 has 288 divisors, whose sum is σ = 439594140960. Its totient is φ = 25855948800.

The previous prime is 113322112181. The next prime is 113322112223. The reversal of 113322112200 is 2211223311.

113322112200 is a `hidden beast` number, since 113 + 322 + 11 + 220 + 0 = 666.

It is a super-2 number, since 2×113322112200² (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 zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168267 + ... + 504933.

It is an arithmetic number, because the mean of its divisors is an integer number (1526368545).

Almost surely, 2^113322112200 is an apocalyptic number.

113322112200 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 113322112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219797070480).

113322112200 is an abundant number, since it is smaller than the sum of its proper divisors (326272028760).

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

113322112200 is a wasteful number, since it uses less digits than its factorization.

113322112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336717 (or 336705 counting only the distinct ones).

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

Adding to 113322112200 its reverse (2211223311), we get a palindrome (115533335511).

Subtracting from 113322112200 its reverse (2211223311), we obtain a square (111110888889 = 333333²).

It can be divided in two parts, 113322 and 112200, that added together give a palindrome (225522).

The spelling of 113322112200 in words is "one hundred thirteen billion, three hundred twenty-two million, one hundred twelve thousand, two hundred".