123113340 has 144 divisors (see below), whose sum is σ = 429811200. Its totient is φ = 27941760.

The previous prime is 123113321. The next prime is 123113383. The reversal of 123113340 is 43311321.

123113340 is a `hidden beast` number, since 12 + 311 + 3 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250495 + ... + 250985.

It is an arithmetic number, because the mean of its divisors is an integer number (2984800).

Almost surely, 2^123113340 is an apocalyptic number.

123113340 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 123113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214905600).

123113340 is an abundant number, since it is smaller than the sum of its proper divisors (306697860).

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

123113340 is a wasteful number, since it uses less digits than its factorization.

123113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123113340 is about 11095.6450916565. The cubic root of 123113340 is about 497.4716901814.

Adding to 123113340 its reverse (43311321), we get a palindrome (166424661).

It can be divided in two parts, 12311 and 3340, that added together give a palindrome (15651).

The spelling of 123113340 in words is "one hundred twenty-three million, one hundred thirteen thousand, three hundred forty".