20121022122000 has 160 divisors (see below), whose sum is σ = 64873890007680. Its totient is φ = 5365298649600.

The previous prime is 20121022121953. The next prime is 20121022122007. The reversal of 20121022122000 is 22122012102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20121022122007) 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, 116487699 + ... + 116660301.

It is an arithmetic number, because the mean of its divisors is an integer number (405461812548).

Almost surely, 2^{20121022122000} is an apocalyptic number.

20121022122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121022122000 is an abundant number, since it is smaller than the sum of its proper divisors (44752867885680).

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

20121022122000 is a wasteful number, since it uses less digits than its factorization.

20121022122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192058 (or 192042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20121022122000 its reverse (22122012102), we get a palindrome (20143144134102).

The spelling of 20121022122000 in words is "twenty trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand".