202122000120000 has 1120 divisors, whose sum is σ = 715814138152960. Its totient is φ = 50224250880000.

The previous prime is 202122000119993. The next prime is 202122000120011. The reversal of 202122000120000 is 21000221202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13351072431 + ... + 13351087569.

It is an arithmetic number, because the mean of its divisors is an integer number (639119766208).

Almost surely, 2^{202122000120000} is an apocalyptic number.

202122000120000 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 202122000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357907069076480).

202122000120000 is an abundant number, since it is smaller than the sum of its proper divisors (513692138032960).

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

202122000120000 is a wasteful number, since it uses less digits than its factorization.

202122000120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202122000120000 its reverse (21000221202), we get a palindrome (202143000341202).

The spelling of 202122000120000 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twenty thousand".