123125640 has 128 divisors (see below), whose sum is σ = 414011520. Its totient is φ = 29030400.

The previous prime is 123125627. The next prime is 123125671. The reversal of 123125640 is 46521321.

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 123125640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47580 + ... + 50100.

It is an arithmetic number, because the mean of its divisors is an integer number (3234465).

Almost surely, 2^123125640 is an apocalyptic number.

123125640 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 123125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207005760).

123125640 is an abundant number, since it is smaller than the sum of its proper divisors (290885880).

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

123125640 is a wasteful number, since it uses less digits than its factorization.

123125640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 123125640 is about 11096.1993493268. The cubic root of 123125640 is about 497.4882567534.

Adding to 123125640 its reverse (46521321), we get a palindrome (169646961).

The spelling of 123125640 in words is "one hundred twenty-three million, one hundred twenty-five thousand, six hundred forty".