112124310213120 has 320 divisors, whose sum is σ = 364348844931456. Its totient is φ = 29408901857280.

The previous prime is 112124310213109. The next prime is 112124310213121. The reversal of 112124310213120 is 21312013421211.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (112124310213121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339959332 + ... + 340288988.

Almost surely, 2^{112124310213120} is an apocalyptic number.

112124310213120 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 112124310213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182174422465728).

112124310213120 is an abundant number, since it is smaller than the sum of its proper divisors (252224534718336).

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

112124310213120 is an equidigital number, since it uses as much as digits as its factorization.

112124310213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330411 (or 330395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 112124310213120 its reverse (21312013421211), we get a palindrome (133436323634331).

The spelling of 112124310213120 in words is "one hundred twelve trillion, one hundred twenty-four billion, three hundred ten million, two hundred thirteen thousand, one hundred twenty".