112226261311572 has 72 divisors (see below), whose sum is σ = 279471114689760. Its totient is φ = 34954393916160.

The previous prime is 112226261311547. The next prime is 112226261311579. The reversal of 112226261311572 is 275113162622211.

It is a super-2 number, since 2×112226261311572² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112226261311579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44968179 + ... + 47398202.

It is an arithmetic number, because the mean of its divisors is an integer number (3881543259580).

Almost surely, 2^{112226261311572} is an apocalyptic number.

112226261311572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112226261311572 is an abundant number, since it is smaller than the sum of its proper divisors (167244853378188).

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

112226261311572 is a wasteful number, since it uses less digits than its factorization.

112226261311572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92366553 (or 92366478 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 112226261311572 in words is "one hundred twelve trillion, two hundred twenty-six billion, two hundred sixty-one million, three hundred eleven thousand, five hundred seventy-two".