202211222000220 has 72 divisors (see below), whose sum is σ = 613475477806464. Its totient is φ = 53914074930048.

The previous prime is 202211222000219. The next prime is 202211222000243. The reversal of 202211222000220 is 22000222112202.

202211222000220 is a `hidden beast` number, since 2 + 0 + 221 + 1 + 2 + 220 + 0 + 0 + 220 = 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 = 202211222000193 and 202211222000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91800219 + ... + 93977138.

It is an arithmetic number, because the mean of its divisors is an integer number (8520492747312).

Almost surely, 2^{202211222000220} is an apocalyptic number.

202211222000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202211222000220 is an abundant number, since it is smaller than the sum of its proper divisors (411264255806244).

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

202211222000220 is a wasteful number, since it uses less digits than its factorization.

202211222000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185783419 (or 185783414 counting only the distinct ones).

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

Adding to 202211222000220 its reverse (22000222112202), we get a palindrome (224211444112422).

The spelling of 202211222000220 in words is "two hundred two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty", and thus it is an aban number.