202222222202000 has 1280 divisors, whose sum is σ = 675092343324672. Its totient is φ = 56547072000000.

The previous prime is 202222222201973. The next prime is 202222222202017. The reversal of 202222222202000 is 202222222202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22244217455 + ... + 22244226545.

Almost surely, 2^{202222222202000} is an apocalyptic number.

202222222202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202222222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337546171662336).

202222222202000 is an abundant number, since it is smaller than the sum of its proper divisors (472870121122672).

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

202222222202000 is a wasteful number, since it uses less digits than its factorization.

202222222202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 202222222202000 its reverse (202222222202), we get a palindrome (202424444424202).

202222222202000 divided by its reverse (202222222202) gives a cube (1000 = 10³).

It can be divided in two parts, 202222 and 222202000, that added together give a palindrome (222404222).

The spelling of 202222222202000 in words is "two hundred two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred two thousand".