202022212212000 has 384 divisors, whose sum is σ = 767333072862720. Its totient is φ = 51530302771200.

The previous prime is 202022212211959. The next prime is 202022212212017. The reversal of 202022212212000 is 212212220202.

202022212212000 is a `hidden beast` number, since 2 + 0 + 20 + 2 + 221 + 221 + 200 + 0 = 666.

202022212212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×202022212212000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38180697 + ... + 43148696.

It is an arithmetic number, because the mean of its divisors is an integer number (1998263210580).

Almost surely, 2^{202022212212000} is an apocalyptic number.

202022212212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022212212000 is an abundant number, since it is smaller than the sum of its proper divisors (565310860650720).

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

202022212212000 is a wasteful number, since it uses less digits than its factorization.

202022212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81329450 (or 81329426 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202022212212000 its reverse (212212220202), we get a palindrome (202234424432202).

The spelling of 202022212212000 in words is "two hundred two trillion, twenty-two billion, two hundred twelve million, two hundred twelve thousand".