123281730 has 256 divisors, whose sum is σ = 402554880. Its totient is φ = 26438400.

The previous prime is 123281723. The next prime is 123281737. The reversal of 123281730 is 37182321.

It is an interprime number because it is at equal distance from previous prime (123281723) and next prime (123281737).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123281694 and 123281703.

It is not an unprimeable number, because it can be changed into a prime (123281737) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1196859 + ... + 1196961.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^123281730 is an apocalyptic number.

123281730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123281730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

123281730 is an abundant number, since it is smaller than the sum of its proper divisors (279273150).

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

123281730 is a wasteful number, since it uses less digits than its factorization.

123281730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 123281730 is about 11103.2306109528. The cubic root of 123281730 is about 497.6983948172.

The spelling of 123281730 in words is "one hundred twenty-three million, two hundred eighty-one thousand, seven hundred thirty".