122344405110256 has 480 divisors, whose sum is σ = 298507694284800. Its totient is φ = 47553272819712.

The previous prime is 122344405110253. The next prime is 122344405110329. The reversal of 122344405110256 is 652011504443221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122344405110253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18539836845 + ... + 18539843443.

It is an arithmetic number, because the mean of its divisors is an integer number (621891029760).

Almost surely, 2^{122344405110256} is an apocalyptic number.

122344405110256 is a gapful number since it is divisible by the number (16) 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 122344405110256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149253847142400).

122344405110256 is an abundant number, since it is smaller than the sum of its proper divisors (176163289174544).

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

122344405110256 is a wasteful number, since it uses less digits than its factorization.

122344405110256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 122344405110256 its reverse (652011504443221), we get a palindrome (774355909553477).

The spelling of 122344405110256 in words is "one hundred twenty-two trillion, three hundred forty-four billion, four hundred five million, one hundred ten thousand, two hundred fifty-six".