123001791010560 has 3024 divisors, whose sum is σ = 584189678714880. Its totient is φ = 24210656870400.

The previous prime is 123001791010529. The next prime is 123001791010591. The reversal of 123001791010560 is 65010197100321.

It is a happy number.

123001791010560 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 1 + 7 + 91 + 0 + 1 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (123001791010529) and next prime (123001791010591).

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15016696065 + ... + 15016704255.

Almost surely, 2^{123001791010560} is an apocalyptic number.

123001791010560 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 123001791010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292094839357440).

123001791010560 is an abundant number, since it is smaller than the sum of its proper divisors (461187887704320).

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

123001791010560 is an equidigital number, since it uses as much as digits as its factorization.

123001791010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 123001791010560 in words is "one hundred twenty-three trillion, one billion, seven hundred ninety-one million, ten thousand, five hundred sixty".