20122122112002 has 80 divisors (see below), whose sum is σ = 45543135211200. Its totient is φ = 6639760317600.

The previous prime is 20122122111989. The next prime is 20122122112007. The reversal of 20122122112002 is 20021122122102.

It is a happy number.

20122122112002 is a `hidden beast` number, since 20 + 1 + 221 + 221 + 1 + 200 + 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 (20122122112007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92483899 + ... + 92701217.

It is an arithmetic number, because the mean of its divisors is an integer number (569289190140).

Almost surely, 2^{20122122112002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122122112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771567605600).

20122122112002 is an abundant number, since it is smaller than the sum of its proper divisors (25421013099198).

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

20122122112002 is a wasteful number, since it uses less digits than its factorization.

20122122112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223093 (or 223084 counting only the distinct ones).

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

Adding to 20122122112002 its reverse (20021122122102), we get a palindrome (40143244234104).

It can be divided in two parts, 2012212 and 2112002, that added together give a palindrome (4124214).

The spelling of 20122122112002 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, two".