123342775920 has 1280 divisors, whose sum is σ = 542258626560. Its totient is φ = 25395793920.

The previous prime is 123342775889. The next prime is 123342775951. The reversal of 123342775920 is 29577243321.

123342775920 is a `hidden beast` number, since 1 + 2 + 3 + 34 + 27 + 7 + 592 + 0 = 666.

123342775920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123342775889) and next prime (123342775951).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 971202897 + ... + 971203023.

It is an arithmetic number, because the mean of its divisors is an integer number (423639552).

Almost surely, 2^123342775920 is an apocalyptic number.

123342775920 is a gapful number since it is divisible by the number (10) 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 123342775920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271129313280).

123342775920 is an abundant number, since it is smaller than the sum of its proper divisors (418915850640).

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

123342775920 is a wasteful number, since it uses less digits than its factorization.

123342775920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 123342775920 in words is "one hundred twenty-three billion, three hundred forty-two million, seven hundred seventy-five thousand, nine hundred twenty".