111252960 has 384 divisors, whose sum is σ = 480936960. Its totient is φ = 23390208.

The previous prime is 111252941. The next prime is 111252971. The reversal of 111252960 is 69252111.

It is a super-2 number, since 2×111252960² = 24754442217523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392979 + ... + 393261.

It is an arithmetic number, because the mean of its divisors is an integer number (1252440).

Almost surely, 2^111252960 is an apocalyptic number.

111252960 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 111252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240468480).

111252960 is an abundant number, since it is smaller than the sum of its proper divisors (369684000).

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

111252960 is a wasteful number, since it uses less digits than its factorization.

111252960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 111252960 is about 10547.6518713882. The cubic root of 111252960 is about 480.9543512709.

The spelling of 111252960 in words is "one hundred eleven million, two hundred fifty-two thousand, nine hundred sixty".