112322638272 has 336 divisors, whose sum is σ = 351018278912. Its totient is φ = 31472271360.

The previous prime is 112322638261. The next prime is 112322638277. The reversal of 112322638272 is 272836223211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 112322638272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112322638277) 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, 22359153 + ... + 22364175.

Almost surely, 2^112322638272 is an apocalyptic number.

112322638272 is a gapful number since it is divisible by the number (12) 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 112322638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175509139456).

112322638272 is an abundant number, since it is smaller than the sum of its proper divisors (238695640640).

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

112322638272 is a wasteful number, since it uses less digits than its factorization.

112322638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5089 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The spelling of 112322638272 in words is "one hundred twelve billion, three hundred twenty-two million, six hundred thirty-eight thousand, two hundred seventy-two".