112410120144 has 80 divisors (see below), whose sum is σ = 346306977792. Its totient is φ = 30720776064.

The previous prime is 112410120143. The next prime is 112410120161. The reversal of 112410120144 is 441021014211.

It is a super-2 number, since 2×112410120144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 112410120144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112410120143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7265184 + ... + 7280639.

Almost surely, 2^112410120144 is an apocalyptic number.

112410120144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112410120144 is an abundant number, since it is smaller than the sum of its proper divisors (233896857648).

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

112410120144 is a wasteful number, since it uses less digits than its factorization.

112410120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14545864 (or 14545858 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 112410120144 its reverse (441021014211), we get a palindrome (553431134355).

The spelling of 112410120144 in words is "one hundred twelve billion, four hundred ten million, one hundred twenty thousand, one hundred forty-four".