122312112223032 has 192 divisors, whose sum is σ = 339646087872000. Its totient is φ = 39751018272000.

The previous prime is 122312112223027. The next prime is 122312112223057. The reversal of 122312112223032 is 230322211213221.

122312112223032 is a `hidden beast` number, since 1 + 2 + 2 + 312 + 112 + 2 + 230 + 3 + 2 = 666.

It is a super-2 number, since 2×122312112223032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122312112222987 and 122312112223005.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 404602594 + ... + 404904782.

It is an arithmetic number, because the mean of its divisors is an integer number (1768990041000).

Almost surely, 2^{122312112223032} is an apocalyptic number.

122312112223032 is a gapful number since it is divisible by the number (12) 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 122312112223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169823043936000).

122312112223032 is an abundant number, since it is smaller than the sum of its proper divisors (217333975648968).

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

122312112223032 is a wasteful number, since it uses less digits than its factorization.

122312112223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303042 (or 303035 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122312112223032 its reverse (230322211213221), we get a palindrome (352634323436253).

The spelling of 122312112223032 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred twelve million, two hundred twenty-three thousand, thirty-two".