22121332040200 has 96 divisors (see below), whose sum is σ = 52424508846600. Its totient is φ = 8677935452160.

The previous prime is 22121332040179. The next prime is 22121332040201. The reversal of 22121332040200 is 204023312122.

It can be written as a sum of positive squares in 12 ways, for example, as 706779852804 + 21414552187396 = 840702^2 + 4627586^2 .

It is not an unprimeable number, because it can be changed into a prime (22121332040201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24886624 + ... + 25760176.

Almost surely, 2^{22121332040200} is an apocalyptic number.

22121332040200 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 22121332040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26212254423300).

22121332040200 is an abundant number, since it is smaller than the sum of its proper divisors (30303176806400).

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

22121332040200 is a wasteful number, since it uses less digits than its factorization.

22121332040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876011 (or 876002 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22121332040200 its reverse (204023312122), we get a palindrome (22325355352322).

The spelling of 22121332040200 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirty-two million, forty thousand, two hundred".