122213321320200 has 96 divisors (see below), whose sum is σ = 413303232123360. Its totient is φ = 29627471833600.

The previous prime is 122213321320159. The next prime is 122213321320201. The reversal of 122213321320200 is 2023123312221.

It is a super-2 number, since 2×122213321320200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122213321320201) 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, 9258578349 + ... + 9258591548.

It is an arithmetic number, because the mean of its divisors is an integer number (4305242001285).

Almost surely, 2^{122213321320200} is an apocalyptic number.

122213321320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213321320200 is an abundant number, since it is smaller than the sum of its proper divisors (291089910803160).

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

122213321320200 is a wasteful number, since it uses less digits than its factorization.

122213321320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517169927 (or 18517169918 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122213321320200 its reverse (2023123312221), we get a palindrome (124236444632421).

The spelling of 122213321320200 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three hundred twenty-one million, three hundred twenty thousand, two hundred".