112120233984 has 306 divisors, whose sum is σ = 356249405148. Its totient is φ = 33954201600.

The previous prime is 112120233949. The next prime is 112120234013. The reversal of 112120233984 is 489332021211.

112120233984 is a `hidden beast` number, since 112 + 1 + 202 + 339 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71367919 + ... + 71369489.

Almost surely, 2^112120233984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178124702574).

112120233984 is an abundant number, since it is smaller than the sum of its proper divisors (244129171164).

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

112120233984 is an equidigital number, since it uses as much as digits as its factorization.

112120233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 112120233984 in words is "one hundred twelve billion, one hundred twenty million, two hundred thirty-three thousand, nine hundred eighty-four".