122112112311300 has 144 divisors (see below), whose sum is σ = 353946617841600. Its totient is φ = 32504704166400.

The previous prime is 122112112311283. The next prime is 122112112311307. The reversal of 122112112311300 is 3113211211221.

It is a super-2 number, since 2×122112112311300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112112311307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 375542790 + ... + 375867810.

It is an arithmetic number, because the mean of its divisors is an integer number (2457962623900).

Almost surely, 2^{122112112311300} is an apocalyptic number.

122112112311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112112311300 is an abundant number, since it is smaller than the sum of its proper divisors (231834505530300).

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

122112112311300 is a wasteful number, since it uses less digits than its factorization.

122112112311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327286 (or 327279 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122112112311300 its reverse (3113211211221), we get a palindrome (125225323522521).

The spelling of 122112112311300 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twelve million, three hundred eleven thousand, three hundred".