112771120 has 80 divisors (see below), whose sum is σ = 326907648. Its totient is φ = 35147520.

The previous prime is 112771067. The next prime is 112771147. The reversal of 112771120 is 21177211.

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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 112771091 and 112771100.

It is a congruent number.

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, 2994 + ... + 15313.

Almost surely, 2^112771120 is an apocalyptic number.

112771120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112771120 is an abundant number, since it is smaller than the sum of its proper divisors (214136528).

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

112771120 is a wasteful number, since it uses less digits than its factorization.

112771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 18332 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 22.

The square root of 112771120 is about 10619.3747461892. The cubic root of 112771120 is about 483.1321789452.

The spelling of 112771120 in words is "one hundred twelve million, seven hundred seventy-one thousand, one hundred twenty".