112226261311710 has 640 divisors, whose sum is σ = 375380568186624. Its totient is φ = 23426149294080.

The previous prime is 112226261311679. The next prime is 112226261311751. The reversal of 112226261311710 is 17113162622211.

112226261311710 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 626 + 1 + 3 + 1 + 17 + 10 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2696364700 + ... + 2696406320.

Almost surely, 2^{112226261311710} is an apocalyptic number.

112226261311710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112226261311710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187690284093312).

112226261311710 is an abundant number, since it is smaller than the sum of its proper divisors (263154306874914).

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

112226261311710 is a wasteful number, since it uses less digits than its factorization.

112226261311710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42050 (or 42041 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 112226261311710 in words is "one hundred twelve trillion, two hundred twenty-six billion, two hundred sixty-one million, three hundred eleven thousand, seven hundred ten".