2022112112202 has 384 divisors, whose sum is σ = 5796601574400. Its totient is φ = 494329651200.

The previous prime is 2022112112197. The next prime is 2022112112231.

It is a happy number.

2022112112202 is a `hidden beast` number, since 20 + 2 + 211 + 211 + 220 + 2 = 666.

2022112112202 is nontrivially palindromic in base 10.

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 191 ways as a sum of consecutive naturals, for example, 559674948 + ... + 559678560.

It is an arithmetic number, because the mean of its divisors is an integer number (15095316600).

Almost surely, 2^{2022112112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022112112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898300787200).

2022112112202 is an abundant number, since it is smaller than the sum of its proper divisors (3774489462198).

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

2022112112202 is a wasteful number, since it uses less digits than its factorization.

2022112112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 2022112112202 in words is "two trillion, twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred two".