112320111030120 has 576 divisors, whose sum is σ = 426472027385040. Its totient is φ = 25562492928000.

The previous prime is 112320111030103. The next prime is 112320111030133. The reversal of 112320111030120 is 21030111023211.

112320111030120 is a `hidden beast` number, since 1 + 1 + 2 + 320 + 11 + 10 + 301 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98466841918116 + 13853269112004 = 9923046^2 + 3721998^2 .

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 = 112320111030093 and 112320111030102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6104012920 + ... + 6104031320.

Almost surely, 2^{112320111030120} is an apocalyptic number.

112320111030120 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 112320111030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213236013692520).

112320111030120 is an abundant number, since it is smaller than the sum of its proper divisors (314151916354920).

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

112320111030120 is a wasteful number, since it uses less digits than its factorization.

112320111030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19906 (or 19892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112320111030120 its reverse (21030111023211), we get a palindrome (133350222053331).

The spelling of 112320111030120 in words is "one hundred twelve trillion, three hundred twenty billion, one hundred eleven million, thirty thousand, one hundred twenty".