202222010202000 has 640 divisors, whose sum is σ = 663594480806400. Its totient is φ = 52972609536000.

The previous prime is 202222010201977. The next prime is 202222010202007. The reversal of 202222010202000 is 202010222202.

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

It is not an unprimeable number, because it can be changed into a prime (202222010202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135810617256 + ... + 135810618744.

It is an arithmetic number, because the mean of its divisors is an integer number (1036866376260).

Almost surely, 2^{202222010202000} is an apocalyptic number.

202222010202000 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 202222010202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331797240403200).

202222010202000 is an abundant number, since it is smaller than the sum of its proper divisors (461372470604400).

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

202222010202000 is a wasteful number, since it uses less digits than its factorization.

202222010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3076 counting only the distinct ones).

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

Adding to 202222010202000 its reverse (202010222202), we get a palindrome (202424020424202).

The spelling of 202222010202000 in words is "two hundred two trillion, two hundred twenty-two billion, ten million, two hundred two thousand".