123930240 has 128 divisors (see below), whose sum is σ = 451509120. Its totient is φ = 28323840.

The previous prime is 123930227. The next prime is 123930241. The reversal of 123930240 is 42039321.

It is a tau number, because it is divible by the number of its divisors (128).

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 123930240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123930241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8830 + ... + 18050.

It is an arithmetic number, because the mean of its divisors is an integer number (3527415).

Almost surely, 2^123930240 is an apocalyptic number.

123930240 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 123930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225754560).

123930240 is an abundant number, since it is smaller than the sum of its proper divisors (327578880).

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

123930240 is an equidigital number, since it uses as much as digits as its factorization.

123930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 123930240 is about 11132.3959685236. The cubic root of 123930240 is about 498.5695649470.

Adding to 123930240 its reverse (42039321), we get a palindrome (165969561).

The spelling of 123930240 in words is "one hundred twenty-three million, nine hundred thirty thousand, two hundred forty".