112222780128 has 192 divisors, whose sum is σ = 352558483200. Its totient is φ = 34614397440.

The previous prime is 112222780123. The next prime is 112222780133. The reversal of 112222780128 is 821087222211.

It is an interprime number because it is at equal distance from previous prime (112222780123) and next prime (112222780133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112222780092 and 112222780101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222780123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626398 + ... + 785378.

It is an arithmetic number, because the mean of its divisors is an integer number (1836242100).

Almost surely, 2^112222780128 is an apocalyptic number.

112222780128 is a gapful number since it is divisible by the number (18) 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 112222780128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176279241600).

112222780128 is an abundant number, since it is smaller than the sum of its proper divisors (240335703072).

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

112222780128 is a wasteful number, since it uses less digits than its factorization.

112222780128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159062 (or 159048 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 112222780128 in words is "one hundred twelve billion, two hundred twenty-two million, seven hundred eighty thousand, one hundred twenty-eight".