123106708105920 has 1680 divisors, whose sum is σ = 539875427719680. Its totient is φ = 25533688320000.

The previous prime is 123106708105907. The next prime is 123106708105921. The reversal of 123106708105920 is 29501807601321.

123106708105920 is a `hidden beast` number, since 12 + 31 + 0 + 6 + 7 + 0 + 8 + 10 + 592 + 0 = 666.

123106708105920 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 (1680).

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

It is not an unprimeable number, because it can be changed into a prime (123106708105921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 54689784795 + ... + 54689787045.

Almost surely, 2^{123106708105920} is an apocalyptic number.

123106708105920 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 123106708105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269937713859840).

123106708105920 is an abundant number, since it is smaller than the sum of its proper divisors (416768719613760).

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

123106708105920 is a wasteful number, since it uses less digits than its factorization.

123106708105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 123106708105920 in words is "one hundred twenty-three trillion, one hundred six billion, seven hundred eight million, one hundred five thousand, nine hundred twenty".