112220031133002 has 192 divisors, whose sum is σ = 248824434055680. Its totient is φ = 33716723040000.

The previous prime is 112220031132983. The next prime is 112220031133051. The reversal of 112220031133002 is 200331130022211.

It is a self number, because there is not a number n which added to its sum of digits gives 112220031133002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3598048824 + ... + 3598080012.

It is an arithmetic number, because the mean of its divisors is an integer number (1295960594040).

Almost surely, 2^{112220031133002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112220031133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124412217027840).

112220031133002 is an abundant number, since it is smaller than the sum of its proper divisors (136604402922678).

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

112220031133002 is a wasteful number, since it uses less digits than its factorization.

112220031133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31749 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112220031133002 its reverse (200331130022211), we get a palindrome (312551161155213).

The spelling of 112220031133002 in words is "one hundred twelve trillion, two hundred twenty billion, thirty-one million, one hundred thirty-three thousand, two".