123374160000 has 1440 divisors, whose sum is σ = 557829171900. Its totient is φ = 25933824000.

The previous prime is 123374159989. The next prime is 123374160023. The reversal of 123374160000 is 61473321.

123374160000 is a `hidden beast` number, since 1 + 23 + 37 + 4 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 56351163456 + 67022996544 = 237384^2 + 258888^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 458639866 + ... + 458640134.

Almost surely, 2^123374160000 is an apocalyptic number.

123374160000 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 123374160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278914585950).

123374160000 is an abundant number, since it is smaller than the sum of its proper divisors (434455011900).

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

123374160000 is a wasteful number, since it uses less digits than its factorization.

123374160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 123374160000 in words is "one hundred twenty-three billion, three hundred seventy-four million, one hundred sixty thousand".