112492080144 has 120 divisors (see below), whose sum is σ = 316290213720. Its totient is φ = 37322858496.

The previous prime is 112492080131. The next prime is 112492080203. The reversal of 112492080144 is 441080294211.

It can be written as a sum of positive squares in 4 ways, for example, as 26928810000 + 85563270144 = 164100^2 + 292512^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 112492080099 and 112492080108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33191602 + ... + 33194990.

It is an arithmetic number, because the mean of its divisors is an integer number (2635751781).

Almost surely, 2^112492080144 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 112492080144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158145106860).

112492080144 is an abundant number, since it is smaller than the sum of its proper divisors (203798133576).

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

112492080144 is a wasteful number, since it uses less digits than its factorization.

112492080144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 112492080144 in words is "one hundred twelve billion, four hundred ninety-two million, eighty thousand, one hundred forty-four".