20002122122000 has 160 divisors (see below), whose sum is σ = 48651679780704. Its totient is φ = 7953481728000.

The previous prime is 20002122121991. The next prime is 20002122122009. The reversal of 20002122122000 is 22122120002.

It is an interprime number because it is at equal distance from previous prime (20002122121991) and next prime (20002122122009).

It can be written as a sum of positive squares in 16 ways, for example, as 17962949545984 + 2039172576016 = 4238272^2 + 1427996^2 .

It is not an unprimeable number, because it can be changed into a prime (20002122122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048704464 + ... + 1048723536.

Almost surely, 2^{20002122122000} is an apocalyptic number.

20002122122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002122122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24325839890352).

20002122122000 is an abundant number, since it is smaller than the sum of its proper divisors (28649557658704).

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

20002122122000 is a wasteful number, since it uses less digits than its factorization.

20002122122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22174 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20002122122000 its reverse (22122120002), we get a palindrome (20024244242002).

The spelling of 20002122122000 in words is "twenty trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand".