111272000 has 112 divisors (see below), whose sum is σ = 315090048. Its totient is φ = 38131200.

The previous prime is 111271997. The next prime is 111272011. The reversal of 111272000 is 272111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a cake number, because a cake can be divided into 111272000 parts by 874 planar cuts.

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, 55007 + ... + 56993.

It is an arithmetic number, because the mean of its divisors is an integer number (2813304).

Almost surely, 2^111272000 is an apocalyptic number.

111272000 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 111272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157545024).

111272000 is an abundant number, since it is smaller than the sum of its proper divisors (203818048).

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

111272000 is an equidigital number, since it uses as much as digits as its factorization.

111272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 111272000 is about 10548.5544033294. The cubic root of 111272000 is about 480.9817867911.

The spelling of 111272000 in words is "one hundred eleven million, two hundred seventy-two thousand".