122313313746 has 192 divisors, whose sum is σ = 306214272000. Its totient is φ = 34997598720.

The previous prime is 122313313741. The next prime is 122313313747. The reversal of 122313313746 is 647313313221.

122313313746 is a `hidden beast` number, since 1 + 22 + 313 + 313 + 7 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122313313746.

It is not an unprimeable number, because it can be changed into a prime (122313313741) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 48172545 + ... + 48175083.

It is an arithmetic number, because the mean of its divisors is an integer number (1594866000).

Almost surely, 2^122313313746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122313313746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153107136000).

122313313746 is an abundant number, since it is smaller than the sum of its proper divisors (183900958254).

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

122313313746 is a wasteful number, since it uses less digits than its factorization.

122313313746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2846 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

Adding to 122313313746 its reverse (647313313221), we get a palindrome (769626626967).

The spelling of 122313313746 in words is "one hundred twenty-two billion, three hundred thirteen million, three hundred thirteen thousand, seven hundred forty-six".