122344329764384 has 576 divisors, whose sum is σ = 316429903544832. Its totient is φ = 46065903206400.

The previous prime is 122344329764333. The next prime is 122344329764387. The reversal of 122344329764384 is 483467923443221.

It is not an unprimeable number, because it can be changed into a prime (122344329764387) 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, 126519471869 + ... + 126519472835.

It is an arithmetic number, because the mean of its divisors is an integer number (549357471432).

Almost surely, 2^{122344329764384} is an apocalyptic number.

122344329764384 is a gapful number since it is divisible by the number (14) 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 122344329764384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158214951772416).

122344329764384 is an abundant number, since it is smaller than the sum of its proper divisors (194085573780448).

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

122344329764384 is a wasteful number, since it uses less digits than its factorization.

122344329764384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2074 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 62.

The spelling of 122344329764384 in words is "one hundred twenty-two trillion, three hundred forty-four billion, three hundred twenty-nine million, seven hundred sixty-four thousand, three hundred eighty-four".