122564407784 has 64 divisors (see below), whose sum is σ = 283447382400. Its totient is φ = 48383057664.

The previous prime is 122564407783. The next prime is 122564407829. The reversal of 122564407784 is 487704465221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122564407783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159722 + ... + 520230.

It is an arithmetic number, because the mean of its divisors is an integer number (4428865350).

Almost surely, 2^122564407784 is an apocalyptic number.

122564407784 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 122564407784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141723691200).

122564407784 is an abundant number, since it is smaller than the sum of its proper divisors (160882974616).

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

122564407784 is a wasteful number, since it uses less digits than its factorization.

122564407784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361002 (or 360998 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 50.

The spelling of 122564407784 in words is "one hundred twenty-two billion, five hundred sixty-four million, four hundred seven thousand, seven hundred eighty-four".