112442274000 has 480 divisors, whose sum is σ = 455184437760. Its totient is φ = 25337088000.

The previous prime is 112442273981. The next prime is 112442274001. The reversal of 112442274000 is 472244211.

112442274000 is a `hidden beast` number, since 11 + 24 + 4 + 227 + 400 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112442274001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8939716 + ... + 8952284.

It is an arithmetic number, because the mean of its divisors is an integer number (948300912).

Almost surely, 2^112442274000 is an apocalyptic number.

112442274000 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 112442274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227592218880).

112442274000 is an abundant number, since it is smaller than the sum of its proper divisors (342742163760).

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

112442274000 is a wasteful number, since it uses less digits than its factorization.

112442274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12676 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 112442274000 in words is "one hundred twelve billion, four hundred forty-two million, two hundred seventy-four thousand".