113120000 has 180 divisors, whose sum is σ = 325658256. Its totient is φ = 38400000.

The previous prime is 113119987. The next prime is 113120011. The reversal of 113120000 is 21311.

It is a super-2 number, since 2×113120000² = 25592268800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 113120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1119950 + ... + 1120050.

Almost surely, 2^113120000 is an apocalyptic number.

113120000 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 113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162829128).

113120000 is an abundant number, since it is smaller than the sum of its proper divisors (212538256).

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

113120000 is an frugal number, since it uses more digits than its factorization.

113120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 113120000 is about 10635.7886402467. The cubic root of 113120000 is about 483.6298880307.

Adding to 113120000 its reverse (21311), we get a palindrome (113141311).

The spelling of 113120000 in words is "one hundred thirteen million, one hundred twenty thousand".