123007616160 has 768 divisors, whose sum is σ = 471768675840. Its totient is φ = 26542080000.

The previous prime is 123007616153. The next prime is 123007616177. The reversal of 123007616160 is 61616700321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 306751960 + ... + 306752360.

It is an arithmetic number, because the mean of its divisors is an integer number (614282130).

Almost surely, 2^123007616160 is an apocalyptic number.

123007616160 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 123007616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235884337920).

123007616160 is an abundant number, since it is smaller than the sum of its proper divisors (348761059680).

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

123007616160 is a wasteful number, since it uses less digits than its factorization.

123007616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 123007616160 in words is "one hundred twenty-three billion, seven million, six hundred sixteen thousand, one hundred sixty".