122120222002002 has 96 divisors (see below), whose sum is σ = 320197507329024. Its totient is φ = 32837332608000.

The previous prime is 122120222001997. The next prime is 122120222002003. The reversal of 122120222002002 is 200200222021221.

122120222002002 is a `hidden beast` number, since 1 + 221 + 20 + 2 + 220 + 0 + 200 + 2 = 666.

It is a super-3 number, since 3×122120222002002³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122120222002003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39710502 + ... + 42675102.

It is an arithmetic number, because the mean of its divisors is an integer number (3335390701344).

Almost surely, 2^{122120222002002} is an apocalyptic number.

122120222002002 is an abundant number, since it is smaller than the sum of its proper divisors (198077285327022).

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

122120222002002 is a wasteful number, since it uses less digits than its factorization.

122120222002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983864 (or 2983861 counting only the distinct ones).

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

Adding to 122120222002002 its reverse (200200222021221), we get a palindrome (322320444023223).

The spelling of 122120222002002 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-two million, two thousand, two".