112129221330 has 144 divisors (see below), whose sum is σ = 341116176960. Its totient is φ = 25033240512.

The previous prime is 112129221329. The next prime is 112129221409. The reversal of 112129221330 is 33122921211.

112129221330 is a `hidden beast` number, since 1 + 1 + 21 + 292 + 21 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112129221294 and 112129221303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1116741 + ... + 1212999.

It is an arithmetic number, because the mean of its divisors is an integer number (2368862340).

Almost surely, 2^112129221330 is an apocalyptic number.

112129221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112129221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170558088480).

112129221330 is an abundant number, since it is smaller than the sum of its proper divisors (228986955630).

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

112129221330 is a wasteful number, since it uses less digits than its factorization.

112129221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96365 (or 96319 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 112129221330 in words is "one hundred twelve billion, one hundred twenty-nine million, two hundred twenty-one thousand, three hundred thirty".