112120020096 has 128 divisors (see below), whose sum is σ = 342963624960. Its totient is φ = 31789655040.

The previous prime is 112120020073. The next prime is 112120020101. The reversal of 112120020096 is 690020021211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192925 + ... + 511331.

It is an arithmetic number, because the mean of its divisors is an integer number (2679403320).

Almost surely, 2^112120020096 is an apocalyptic number.

112120020096 is a gapful number since it is divisible by the number (16) 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 112120020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171481812480).

112120020096 is an abundant number, since it is smaller than the sum of its proper divisors (230843604864).

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

112120020096 is a wasteful number, since it uses less digits than its factorization.

112120020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318562 (or 318550 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 112120020096 in words is "one hundred twelve billion, one hundred twenty million, twenty thousand, ninety-six".