221122122212200 has 96 divisors (see below), whose sum is σ = 562510343640960. Its totient is φ = 80169444633600.

The previous prime is 221122122212177. The next prime is 221122122212207. The reversal of 221122122212200 is 2212221221122.

It is a super-2 number, since 2×221122122212200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (221122122212207) 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, 148383312 + ... + 149866111.

It is an arithmetic number, because the mean of its divisors is an integer number (5859482746260).

Almost surely, 2^{221122122212200} is an apocalyptic number.

221122122212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221122122212200 is an abundant number, since it is smaller than the sum of its proper divisors (341388221428760).

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

221122122212200 is a wasteful number, since it uses less digits than its factorization.

221122122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298249787 (or 298249778 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221122122212200 its reverse (2212221221122), we get a palindrome (223334343433322).

The spelling of 221122122212200 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".