123343129105920 has 1120 divisors, whose sum is σ = 473491255691520. Its totient is φ = 30732463964160.

The previous prime is 123343129105877. The next prime is 123343129105961. The reversal of 123343129105920 is 29501921343321.

123343129105920 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 31 + 29 + 1 + 0 + 592 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1677713002 + ... + 1677786518.

Almost surely, 2^{123343129105920} is an apocalyptic number.

123343129105920 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 123343129105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236745627845760).

123343129105920 is an abundant number, since it is smaller than the sum of its proper divisors (350148126585600).

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

123343129105920 is an frugal number, since it uses more digits than its factorization.

123343129105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73618 (or 73587 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 123343129105920 in words is "one hundred twenty-three trillion, three hundred forty-three billion, one hundred twenty-nine million, one hundred five thousand, nine hundred twenty".