123800160960 has 336 divisors, whose sum is σ = 490164729600. Its totient is φ = 28092966912.

The previous prime is 123800160947. The next prime is 123800160977. The reversal of 123800160960 is 69061008321.

123800160960 is a `hidden beast` number, since 12 + 38 + 0 + 0 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 2780151 + ... + 2824329.

It is an arithmetic number, because the mean of its divisors is an integer number (1458823600).

Almost surely, 2^123800160960 is an apocalyptic number.

123800160960 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 123800160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245082364800).

123800160960 is an abundant number, since it is smaller than the sum of its proper divisors (366364568640).

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

123800160960 is a wasteful number, since it uses less digits than its factorization.

123800160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44348 (or 44335 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 123800160960 in words is "one hundred twenty-three billion, eight hundred million, one hundred sixty thousand, nine hundred sixty".