202202202012000 has 192 divisors, whose sum is σ = 664504061667264. Its totient is φ = 53750489702400.

The previous prime is 202202202011981. The next prime is 202202202012001. The reversal of 202202202012000 is 210202202202.

202202202012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202202012001) 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, 22773577 + ... + 30381576.

It is an arithmetic number, because the mean of its divisors is an integer number (3460958654517).

Almost surely, 2^{202202202012000} is an apocalyptic number.

202202202012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202202012000 is an abundant number, since it is smaller than the sum of its proper divisors (462301859655264).

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

202202202012000 is a wasteful number, since it uses less digits than its factorization.

202202202012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53155498 (or 53155480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202202202012000 its reverse (210202202202), we get a palindrome (202412404214202).

The spelling of 202202202012000 in words is "two hundred two trillion, two hundred two billion, two hundred two million, twelve thousand".