112251040 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 37565440.

The previous prime is 112251023. The next prime is 112251047. The reversal of 112251040 is 40152211.

It is a super-4 number, since 4×112251040⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112251047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1902531 + ... + 1902589.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^112251040 is an apocalyptic number.

112251040 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 112251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

112251040 is an abundant number, since it is smaller than the sum of its proper divisors (201277280).

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

112251040 is a wasteful number, since it uses less digits than its factorization.

112251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112251040 is about 10594.8591307294. The cubic root of 112251040 is about 482.3883282060.

It can be divided in two parts, 112 and 251040, that added together give a palindrome (251152).

The spelling of 112251040 in words is "one hundred twelve million, two hundred fifty-one thousand, forty".