112123302120 has 384 divisors, whose sum is σ = 394865396640. Its totient is φ = 27488747520.

The previous prime is 112123302101. The next prime is 112123302149. The reversal of 112123302120 is 21203321211.

112123302120 is a `hidden beast` number, since 1 + 1 + 212 + 330 + 2 + 120 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7950575556 + 104172726564 = 89166^2 + 322758^2 .

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 = 112123302093 and 112123302102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58610284 + ... + 58612196.

Almost surely, 2^112123302120 is an apocalyptic number.

112123302120 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 112123302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197432698320).

112123302120 is an abundant number, since it is smaller than the sum of its proper divisors (282742094520).

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

112123302120 is a wasteful number, since it uses less digits than its factorization.

112123302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112123302120 its reverse (21203321211), we get a palindrome (133326623331).

The spelling of 112123302120 in words is "one hundred twelve billion, one hundred twenty-three million, three hundred two thousand, one hundred twenty".