122112210202002 has 40 divisors (see below), whose sum is σ = 273635552433276. Its totient is φ = 40702024896768.

The previous prime is 122112210201953. The next prime is 122112210202019. The reversal of 122112210202002 is 200202012211221.

It is a happy number.

122112210202002 is a `hidden beast` number, since 1 + 221 + 1 + 221 + 0 + 20 + 200 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101891278762641 + 20220931439361 = 10094121^2 + 4496769^2 .

It is a super-2 number, since 2×122112210202002² (a number of 29 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 15700903 + ... + 22152714.

Almost surely, 2^{122112210202002} is an apocalyptic number.

122112210202002 is an abundant number, since it is smaller than the sum of its proper divisors (151523342231274).

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

122112210202002 is a wasteful number, since it uses less digits than its factorization.

122112210202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37873544 (or 37873535 counting only the distinct ones).

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

Adding to 122112210202002 its reverse (200202012211221), we get a palindrome (322314222413223).

The spelling of 122112210202002 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred ten million, two hundred two thousand, two".