123414120 has 96 divisors (see below), whose sum is σ = 422229600. Its totient is φ = 31176576.

The previous prime is 123414097. The next prime is 123414133. The reversal of 123414120 is 21414321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123414093 and 123414102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2182 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (4398225).

Almost surely, 2^123414120 is an apocalyptic number.

123414120 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 123414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211114800).

123414120 is an abundant number, since it is smaller than the sum of its proper divisors (298815480).

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

123414120 is a wasteful number, since it uses less digits than its factorization.

123414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18079 (or 18072 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123414120 is about 11109.1907896120. The cubic root of 123414120 is about 497.8764874900.

Adding to 123414120 its reverse (21414321), we get a palindrome (144828441).

It can be divided in two parts, 12341 and 4120, that added together give a palindrome (16461).

The spelling of 123414120 in words is "one hundred twenty-three million, four hundred fourteen thousand, one hundred twenty".