113122112000 has 160 divisors (see below), whose sum is σ = 284730526080. Its totient is φ = 44823244800.

The previous prime is 113122111979. The next prime is 113122112041. The reversal of 113122112000 is 211221311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×113122112000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6839741 + ... + 6856259.

It is an arithmetic number, because the mean of its divisors is an integer number (1779565788).

Almost surely, 2^113122112000 is an apocalyptic number.

113122112000 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 113122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142365263040).

113122112000 is an abundant number, since it is smaller than the sum of its proper divisors (171608414080).

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

113122112000 is an equidigital number, since it uses as much as digits as its factorization.

113122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16659 (or 16633 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 113122112000 its reverse (211221311), we get a palindrome (113333333311).

The spelling of 113122112000 in words is "one hundred thirteen billion, one hundred twenty-two million, one hundred twelve thousand".