122565586800384 has 1152 divisors, whose sum is σ = 462879962316800. Its totient is φ = 31119208611840.

The previous prime is 122565586800383. The next prime is 122565586800409. The reversal of 122565586800384 is 483008685565221.

122565586800384 is a `hidden beast` number, since 1 + 2 + 2 + 56 + 55 + 86 + 80 + 0 + 384 = 666.

122565586800384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×122565586800384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122565586800383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3763242852 + ... + 3763275420.

Almost surely, 2^{122565586800384} is an apocalyptic number.

122565586800384 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 122565586800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231439981158400).

122565586800384 is an abundant number, since it is smaller than the sum of its proper divisors (340314375516416).

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

122565586800384 is a wasteful number, since it uses less digits than its factorization.

122565586800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32838 (or 32818 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 122565586800384 in words is "one hundred twenty-two trillion, five hundred sixty-five billion, five hundred eighty-six million, eight hundred thousand, three hundred eighty-four".