123088792320 has 1008 divisors, whose sum is σ = 486049055520. Its totient is φ = 29668737024.

The previous prime is 123088792217. The next prime is 123088792339. The reversal of 123088792320 is 23297880321.

123088792320 is a `hidden beast` number, since 1 + 230 + 8 + 8 + 7 + 92 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 885530811 + ... + 885530949.

Almost surely, 2^123088792320 is an apocalyptic number.

123088792320 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 123088792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243024527760).

123088792320 is an abundant number, since it is smaller than the sum of its proper divisors (362960263200).

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

123088792320 is an equidigital number, since it uses as much as digits as its factorization.

123088792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 123088792320 in words is "one hundred twenty-three billion, eighty-eight million, seven hundred ninety-two thousand, three hundred twenty".