202122120030000 has 200 divisors, whose sum is σ = 655277506863408. Its totient is φ = 53667902976000.

The previous prime is 202122120029957. The next prime is 202122120030059. The reversal of 202122120030000 is 30021221202.

It is a happy number.

202122120030000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7467949 + ... + 21447948.

Almost surely, 2^{202122120030000} is an apocalyptic number.

202122120030000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122120030000 is an abundant number, since it is smaller than the sum of its proper divisors (453155386833408).

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

202122120030000 is a wasteful number, since it uses less digits than its factorization.

202122120030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28916161 (or 28916140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202122120030000 its reverse (30021221202), we get a palindrome (202152141251202).

The spelling of 202122120030000 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twenty million, thirty thousand".