113322200121200 has 240 divisors, whose sum is σ = 312631617182784. Its totient is φ = 38668686336000.

The previous prime is 113322200121199. The next prime is 113322200121203. The reversal of 113322200121200 is 2121002223311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322200121203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680117900 + ... + 680284500.

Almost surely, 2^{113322200121200} is an apocalyptic number.

113322200121200 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 113322200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156315808591392).

113322200121200 is an abundant number, since it is smaller than the sum of its proper divisors (199309417061584).

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

113322200121200 is a wasteful number, since it uses less digits than its factorization.

113322200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167780 (or 167769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113322200121200 its reverse (2121002223311), we get a palindrome (115443202344511).

The spelling of 113322200121200 in words is "one hundred thirteen trillion, three hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, two hundred".