20002112122122 has 32 divisors (see below), whose sum is σ = 47868302516160. Its totient is φ = 6154496037360.

The previous prime is 20002112122103. The next prime is 20002112122141. The reversal of 20002112122122 is 22122121120002.

It is a happy number.

20002112122122 is a `hidden beast` number, since 200 + 0 + 211 + 212 + 21 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (20002112122103) and next prime (20002112122141).

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

It is a junction number, because it is equal to n+sod(n) for n = 20002112122095 and 20002112122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14246517904 + ... + 14246519307.

It is an arithmetic number, because the mean of its divisors is an integer number (1495884453630).

Almost surely, 2^{20002112122122} is an apocalyptic number.

20002112122122 is an abundant number, since it is smaller than the sum of its proper divisors (27866190394038).

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

20002112122122 is a wasteful number, since it uses less digits than its factorization.

20002112122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28493037235 (or 28493037229 counting only the distinct ones).

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

Adding to 20002112122122 its reverse (22122121120002), we get a palindrome (42124233242124).

The spelling of 20002112122122 in words is "twenty trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-two".