202200212122020 has 192 divisors, whose sum is σ = 719619453504000. Its totient is φ = 46173132103680.

The previous prime is 202200212121989. The next prime is 202200212122033. The reversal of 202200212122020 is 20221212002202.

202200212122020 is a `hidden beast` number, since 20 + 220 + 0 + 212 + 12 + 202 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202200212121984 and 202200212122002.

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, 21531501 + ... + 29461940.

It is an arithmetic number, because the mean of its divisors is an integer number (3748017987000).

Almost surely, 2^{202200212122020} is an apocalyptic number.

202200212122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200212122020 is an abundant number, since it is smaller than the sum of its proper divisors (517419241381980).

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

202200212122020 is a wasteful number, since it uses less digits than its factorization.

202200212122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50994515 (or 50994507 counting only the distinct ones).

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

Adding to 202200212122020 its reverse (20221212002202), we get a palindrome (222421424124222).

The spelling of 202200212122020 in words is "two hundred two trillion, two hundred billion, two hundred twelve million, one hundred twenty-two thousand, twenty".