113112000 has 168 divisors, whose sum is σ = 404878032. Its totient is φ = 30144000.

The previous prime is 113111993. The next prime is 113112011. The reversal of 113112000 is 211311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 71215 + ... + 72785.

Almost surely, 2^113112000 is an apocalyptic number.

113112000 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 113112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202439016).

113112000 is an abundant number, since it is smaller than the sum of its proper divisors (291766032).

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

113112000 is a wasteful number, since it uses less digits than its factorization.

113112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 113112000 is about 10635.4125448898. The cubic root of 113112000 is about 483.6184867745.

Adding to 113112000 its reverse (211311), we get a palindrome (113323311).

It can be divided in two parts, 1131 and 12000, that added together give a palindrome (13131).

The spelling of 113112000 in words is "one hundred thirteen million, one hundred twelve thousand".