112144701040 has 80 divisors (see below), whose sum is σ = 277290814752. Its totient is φ = 42033078272.

The previous prime is 112144701037. The next prime is 112144701049. The reversal of 112144701040 is 40107441211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 112144700996 and 112144701014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112144701049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127092 + ... + 490348.

Almost surely, 2^112144701040 is an apocalyptic number.

112144701040 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 112144701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138645407376).

112144701040 is an abundant number, since it is smaller than the sum of its proper divisors (165146113712).

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

112144701040 is a wasteful number, since it uses less digits than its factorization.

112144701040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363514 (or 363508 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The spelling of 112144701040 in words is "one hundred twelve billion, one hundred forty-four million, seven hundred one thousand, forty".