112112414120 has 64 divisors (see below), whose sum is σ = 291088062720. Its totient is φ = 38065342464.

The previous prime is 112112414119. The next prime is 112112414123. The reversal of 112112414120 is 21414211211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112112414092 and 112112414101.

It is not an unprimeable number, because it can be changed into a prime (112112414123) by changing a digit.

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, 1914857 + ... + 1972536.

It is an arithmetic number, because the mean of its divisors is an integer number (4548250980).

Almost surely, 2^112112414120 is an apocalyptic number.

112112414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112414120 is an abundant number, since it is smaller than the sum of its proper divisors (178975648600).

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

112112414120 is a wasteful number, since it uses less digits than its factorization.

112112414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887514 (or 3887510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 112112414120 its reverse (21414211211), we get a palindrome (133526625331).

The spelling of 112112414120 in words is "one hundred twelve billion, one hundred twelve million, four hundred fourteen thousand, one hundred twenty".