112617120 has 288 divisors, whose sum is σ = 447237504. Its totient is φ = 23316480.

The previous prime is 112617101. The next prime is 112617137. The reversal of 112617120 is 21716211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406422 + ... + 406698.

It is an arithmetic number, because the mean of its divisors is an integer number (1552908).

Almost surely, 2^112617120 is an apocalyptic number.

112617120 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 112617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223618752).

112617120 is an abundant number, since it is smaller than the sum of its proper divisors (334620384).

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

112617120 is a wasteful number, since it uses less digits than its factorization.

112617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 112617120 is about 10612.1213713376. The cubic root of 112617120 is about 482.9121573381.

Subtracting from 112617120 its reverse (21716211), we obtain a palindrome (90900909).

It can be divided in two parts, 11261 and 7120, that added together give a palindrome (18381).

The spelling of 112617120 in words is "one hundred twelve million, six hundred seventeen thousand, one hundred twenty".