113022112122000 has 120 divisors (see below), whose sum is σ = 394748563667640. Its totient is φ = 30139229894400.

The previous prime is 113022112121959. The next prime is 113022112122019. The reversal of 113022112122000 is 221211220311.

113022112122000 is a `hidden beast` number, since 1 + 1 + 30 + 221 + 1 + 212 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2834347336704 + 110187764785296 = 1683552^2 + 10497036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3139485115 + ... + 3139521114.

It is an arithmetic number, because the mean of its divisors is an integer number (3289571363897).

Almost surely, 2^{113022112122000} is an apocalyptic number.

113022112122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113022112122000 is an abundant number, since it is smaller than the sum of its proper divisors (281726451545640).

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

113022112122000 is a wasteful number, since it uses less digits than its factorization.

113022112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279006258 (or 6279006239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113022112122000 its reverse (221211220311), we get a palindrome (113243323342311).

The spelling of 113022112122000 in words is "one hundred thirteen trillion, twenty-two billion, one hundred twelve million, one hundred twenty-two thousand".