122122020002202 has 384 divisors, whose sum is σ = 320702623488000. Its totient is φ = 33150982233600.

The previous prime is 122122020002189. The next prime is 122122020002209. The reversal of 122122020002202 is 202200020221221.

122122020002202 is a `hidden beast` number, since 1 + 2 + 21 + 220 + 200 + 0 + 220 + 2 = 666.

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 (122122020002209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2720268468 + ... + 2720313360.

It is an arithmetic number, because the mean of its divisors is an integer number (835163082000).

Almost surely, 2^{122122020002202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122020002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160351311744000).

122122020002202 is an abundant number, since it is smaller than the sum of its proper divisors (198580603485798).

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

122122020002202 is a wasteful number, since it uses less digits than its factorization.

122122020002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45314 (or 45311 counting only the distinct ones).

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

Adding to 122122020002202 its reverse (202200020221221), we get a palindrome (324322040223423).

The spelling of 122122020002202 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty million, two thousand, two hundred two".