123413040 has 120 divisors (see below), whose sum is σ = 417192048. Its totient is φ = 32693760.

The previous prime is 123413039. The next prime is 123413041. The reversal of 123413040 is 40314321.

It is an interprime number because it is at equal distance from previous prime (123413039) and next prime (123413041).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (123413041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129847 + ... + 130793.

Almost surely, 2^123413040 is an apocalyptic number.

123413040 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 123413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208596024).

123413040 is an abundant number, since it is smaller than the sum of its proper divisors (293779008).

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

123413040 is a wasteful number, since it uses less digits than its factorization.

123413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123413040 is about 11109.1421811047. The cubic root of 123413040 is about 497.8750351760.

Adding to 123413040 its reverse (40314321), we get a palindrome (163727361).

The spelling of 123413040 in words is "one hundred twenty-three million, four hundred thirteen thousand, forty".