113220223200 has 864 divisors, whose sum is σ = 497150680320. Its totient is φ = 24748416000.

The previous prime is 113220223141. The next prime is 113220223217. The reversal of 113220223200 is 2322022311.

113220223200 is a `hidden beast` number, since 1 + 1 + 322 + 0 + 22 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 24340875 + ... + 24345525.

It is an arithmetic number, because the mean of its divisors is an integer number (575405880).

Almost surely, 2^113220223200 is an apocalyptic number.

113220223200 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 113220223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248575340160).

113220223200 is an abundant number, since it is smaller than the sum of its proper divisors (383930457120).

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

113220223200 is a wasteful number, since it uses less digits than its factorization.

113220223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 113220223200 its reverse (2322022311), we get a palindrome (115542245511).

The spelling of 113220223200 in words is "one hundred thirteen billion, two hundred twenty million, two hundred twenty-three thousand, two hundred".