202132212222000 has 640 divisors, whose sum is σ = 665772704962560. Its totient is φ = 52748236800000.

The previous prime is 202132212221959. The next prime is 202132212222047. The reversal of 202132212222000 is 222212231202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85251880815 + ... + 85251883185.

It is an arithmetic number, because the mean of its divisors is an integer number (1040269851504).

Almost surely, 2^{202132212222000} is an apocalyptic number.

202132212222000 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 202132212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332886352481280).

202132212222000 is an abundant number, since it is smaller than the sum of its proper divisors (463640492740560).

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

202132212222000 is a wasteful number, since it uses less digits than its factorization.

202132212222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 202132212222000 its reverse (222212231202), we get a palindrome (202354424453202).

The spelling of 202132212222000 in words is "two hundred two trillion, one hundred thirty-two billion, two hundred twelve million, two hundred twenty-two thousand".