123978908160 has 480 divisors, whose sum is σ = 439160641920. Its totient is φ = 32317046784.

The previous prime is 123978908101. The next prime is 123978908161. The reversal of 123978908160 is 61809879321.

123978908160 is a `hidden beast` number, since 1 + 2 + 397 + 8 + 90 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 123978908097 and 123978908106.

It is not an unprimeable number, because it can be changed into a prime (123978908161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211207387 + ... + 211207973.

It is an arithmetic number, because the mean of its divisors is an integer number (914918004).

Almost surely, 2^123978908160 is an apocalyptic number.

123978908160 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 123978908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219580320960).

123978908160 is an abundant number, since it is smaller than the sum of its proper divisors (315181733760).

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

123978908160 is a wasteful number, since it uses less digits than its factorization.

123978908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 123978908160 in words is "one hundred twenty-three billion, nine hundred seventy-eight million, nine hundred eight thousand, one hundred sixty".