123321122384 has 80 divisors (see below), whose sum is σ = 251484090000. Its totient is φ = 58498191360.

The previous prime is 123321122383. The next prime is 123321122399. The reversal of 123321122384 is 483221123321.

123321122384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60584899600 + 62736222784 = 246140^2 + 250472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123321122384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123321122381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40444892 + ... + 40447940.

It is an arithmetic number, because the mean of its divisors is an integer number (3143551125).

Almost surely, 2^123321122384 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 123321122384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125742045000).

123321122384 is an abundant number, since it is smaller than the sum of its proper divisors (128162967616).

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

123321122384 is a wasteful number, since it uses less digits than its factorization.

123321122384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4570 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 123321122384 in words is "one hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred eighty-four".