123113760 has 192 divisors, whose sum is σ = 483646464. Its totient is φ = 25574400.

The previous prime is 123113759. The next prime is 123113791. The reversal of 123113760 is 67311321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123113760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35295 + ... + 38625.

It is an arithmetic number, because the mean of its divisors is an integer number (2518992).

Almost surely, 2^123113760 is an apocalyptic number.

123113760 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 123113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241823232).

123113760 is an abundant number, since it is smaller than the sum of its proper divisors (360532704).

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

123113760 is a wasteful number, since it uses less digits than its factorization.

123113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 123113760 is about 11095.6640179847. The cubic root of 123113760 is about 497.4722558874.

The spelling of 123113760 in words is "one hundred twenty-three million, one hundred thirteen thousand, seven hundred sixty".