112002220220202 has 192 divisors, whose sum is σ = 285113530867200. Its totient is φ = 32391798912000.

The previous prime is 112002220220197. The next prime is 112002220220213. The reversal of 112002220220202 is 202022022200211.

112002220220202 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 2 + 220 + 220 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151993824 + ... + 152728932.

It is an arithmetic number, because the mean of its divisors is an integer number (1484966306600).

Almost surely, 2^{112002220220202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002220220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142556765433600).

112002220220202 is an abundant number, since it is smaller than the sum of its proper divisors (173111310646998).

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

112002220220202 is a wasteful number, since it uses less digits than its factorization.

112002220220202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735918 (or 735895 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112002220220202 its reverse (202022022200211), we get a palindrome (314024242420413).

The spelling of 112002220220202 in words is "one hundred twelve trillion, two billion, two hundred twenty million, two hundred twenty thousand, two hundred two".