122312412352 has 112 divisors (see below), whose sum is σ = 264743488800. Its totient is φ = 55728414720.

The previous prime is 122312412349. The next prime is 122312412433. The reversal of 122312412352 is 253214213221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 122312412352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75454102 + ... + 75455722.

It is an arithmetic number, because the mean of its divisors is an integer number (2363781150).

Almost surely, 2^122312412352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132371744400).

122312412352 is an abundant number, since it is smaller than the sum of its proper divisors (142431076448).

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

122312412352 is a wasteful number, since it uses less digits than its factorization.

122312412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2744 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

Adding to 122312412352 its reverse (253214213221), we get a palindrome (375526625573).

The spelling of 122312412352 in words is "one hundred twenty-two billion, three hundred twelve million, four hundred twelve thousand, three hundred fifty-two".