112226261311580 has 144 divisors (see below), whose sum is σ = 261175219331040. Its totient is φ = 40478155001856.

The previous prime is 112226261311579. The next prime is 112226261311589. The reversal of 112226261311580 is 85113162622211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112226261311589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22720664 + ... + 27215456.

It is an arithmetic number, because the mean of its divisors is an integer number (1813716800910).

Almost surely, 2^{112226261311580} is an apocalyptic number.

112226261311580 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 112226261311580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130587609665520).

112226261311580 is an abundant number, since it is smaller than the sum of its proper divisors (148948958019460).

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

112226261311580 is a wasteful number, since it uses less digits than its factorization.

112226261311580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495000 (or 4494985 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 112226261311580 in words is "one hundred twelve trillion, two hundred twenty-six billion, two hundred sixty-one million, three hundred eleven thousand, five hundred eighty".