122685456384 has 320 divisors, whose sum is σ = 388239825600. Its totient is φ = 38475399168.

The previous prime is 122685456347. The next prime is 122685456409. The reversal of 122685456384 is 483654586221.

122685456384 is a `hidden beast` number, since 1 + 2 + 2 + 68 + 545 + 6 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 122685456384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45120177 + ... + 45122895.

It is an arithmetic number, because the mean of its divisors is an integer number (1213249455).

Almost surely, 2^122685456384 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 122685456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194119912800).

122685456384 is an abundant number, since it is smaller than the sum of its proper divisors (265554369216).

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

122685456384 is an frugal number, since it uses more digits than its factorization.

122685456384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2741 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 122685456384 in words is "one hundred twenty-two billion, six hundred eighty-five million, four hundred fifty-six thousand, three hundred eighty-four".