112291704011140 has 96 divisors (see below), whose sum is σ = 246540234352608. Its totient is φ = 42919206912000.

The previous prime is 112291704011119. The next prime is 112291704011141. The reversal of 112291704011140 is 41110407192211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1369985975296 + 110921718035844 = 1170464^2 + 10531938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112291704011096 and 112291704011105.

It is not an unprimeable number, because it can be changed into a prime (112291704011141) 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, 26994310 + ... + 30875170.

It is an arithmetic number, because the mean of its divisors is an integer number (2568127441173).

Almost surely, 2^{112291704011140} is an apocalyptic number.

112291704011140 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 112291704011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123270117176304).

112291704011140 is an abundant number, since it is smaller than the sum of its proper divisors (134248530341468).

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

112291704011140 is a wasteful number, since it uses less digits than its factorization.

112291704011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881609 (or 3881607 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The spelling of 112291704011140 in words is "one hundred twelve trillion, two hundred ninety-one billion, seven hundred four million, eleven thousand, one hundred forty".