112119120 has 80 divisors (see below), whose sum is σ = 386195520. Its totient is φ = 29897856.

The previous prime is 112119113. The next prime is 112119121. The reversal of 112119120 is 21911211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112119093 and 112119102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112119121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23794 + ... + 28113.

It is an arithmetic number, because the mean of its divisors is an integer number (4827444).

Almost surely, 2^112119120 is an apocalyptic number.

112119120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112119120 is an abundant number, since it is smaller than the sum of its proper divisors (274076400).

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

112119120 is a wasteful number, since it uses less digits than its factorization.

112119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51929 (or 51917 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 112119120 is about 10588.6316396407. The cubic root of 112119120 is about 482.1992828494.

It can be divided in two parts, 1121191 and 20, that added together give a palindrome (1121211).

The spelling of 112119120 in words is "one hundred twelve million, one hundred nineteen thousand, one hundred twenty".