221200122212000 has 96 divisors (see below), whose sum is σ = 556744522645584. Its totient is φ = 86321998848000.

The previous prime is 221200122211921. The next prime is 221200122212029. The reversal of 221200122212000 is 212221002122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6366962144656 + 214833160067344 = 2523284^2 + 14657188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221200122212000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674226617 + ... + 674554616.

Almost surely, 2^{221200122212000} is an apocalyptic number.

221200122212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200122212000 is an abundant number, since it is smaller than the sum of its proper divisors (335544400433584).

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

221200122212000 is a wasteful number, since it uses less digits than its factorization.

221200122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348781299 (or 1348781281 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221200122212000 its reverse (212221002122), we get a palindrome (221412343214122).

The spelling of 221200122212000 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-two million, two hundred twelve thousand".