12122120122002 has 128 divisors (see below), whose sum is σ = 30409775827200. Its totient is φ = 3545596454400.

The previous prime is 12122120121961. The next prime is 12122120122207. The reversal of 12122120122002 is 20022102122121.

It is a happy number.

12122120122002 is a `hidden beast` number, since 1 + 21 + 221 + 201 + 220 + 0 + 2 = 666.

12122120122002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 55997052 + ... + 56213112.

It is an arithmetic number, because the mean of its divisors is an integer number (237576373650).

Almost surely, 2^{12122120122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122120122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204887913600).

12122120122002 is an abundant number, since it is smaller than the sum of its proper divisors (18287655705198).

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

12122120122002 is a wasteful number, since it uses less digits than its factorization.

12122120122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219369 (or 219363 counting only the distinct ones).

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

Adding to 12122120122002 its reverse (20022102122121), we get a palindrome (32144222244123).

The spelling of 12122120122002 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two".