123204706560 has 1440 divisors, whose sum is σ = 531014520960. Its totient is φ = 26945519616.

The previous prime is 123204706531. The next prime is 123204706571. The reversal of 123204706560 is 65607402321.

123204706560 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 4 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 435352179 + ... + 435352461.

It is an arithmetic number, because the mean of its divisors is an integer number (368760084).

Almost surely, 2^123204706560 is an apocalyptic number.

123204706560 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 123204706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265507260480).

123204706560 is an abundant number, since it is smaller than the sum of its proper divisors (407809814400).

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

123204706560 is a wasteful number, since it uses less digits than its factorization.

123204706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 123204706560 in words is "one hundred twenty-three billion, two hundred four million, seven hundred six thousand, five hundred sixty".