122365797984 has 480 divisors, whose sum is σ = 378128852640. Its totient is φ = 38793904128.

The previous prime is 122365797949. The next prime is 122365797997. The reversal of 122365797984 is 489797563221.

122365797984 is a `hidden beast` number, since 1 + 22 + 36 + 579 + 7 + 9 + 8 + 4 = 666.

122365797984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122365797984² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1082883112 + ... + 1082883224.

It is an arithmetic number, because the mean of its divisors is an integer number (787768443).

Almost surely, 2^122365797984 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 122365797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189064426320).

122365797984 is an abundant number, since it is smaller than the sum of its proper divisors (255763054656).

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

122365797984 is a wasteful number, since it uses less digits than its factorization.

122365797984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 122365797984 in words is "one hundred twenty-two billion, three hundred sixty-five million, seven hundred ninety-seven thousand, nine hundred eighty-four".