122312104023200 has 144 divisors (see below), whose sum is σ = 367500829691520. Its totient is φ = 38709764766720.

The previous prime is 122312104023163. The next prime is 122312104023257. The reversal of 122312104023200 is 2320401213221.

It is a super-2 number, since 2×122312104023200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839982860 + ... + 840128459.

It is an arithmetic number, because the mean of its divisors is an integer number (2552089095080).

Almost surely, 2^{122312104023200} is an apocalyptic number.

122312104023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312104023200 is an abundant number, since it is smaller than the sum of its proper divisors (245188725668320).

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

122312104023200 is a wasteful number, since it uses less digits than its factorization.

122312104023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680111359 (or 1680111346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122312104023200 its reverse (2320401213221), we get a palindrome (124632505236421).

The spelling of 122312104023200 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred four million, twenty-three thousand, two hundred".