123420 has 72 divisors (see below), whose sum is σ = 402192. Its totient is φ = 28160.

The previous prime is 123419. The next prime is 123427. The reversal of 123420 is 24321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 123396 and 123405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123427) 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, 7252 + ... + 7268.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2¹²³⁴²⁰ is an apocalyptic number.

123420 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 123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

123420 is an abundant number, since it is smaller than the sum of its proper divisors (278772).

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

123420 is a wasteful number, since it uses less digits than its factorization.

123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 123420 is about 351.3118272988. The cubic root of 123420 is about 49.7884394384.

Adding to 123420 its reverse (24321), we get a palindrome (147741).

Subtracting from 123420 its reverse (24321), we obtain a palindrome (99099).

The spelling of 123420 in words is "one hundred twenty-three thousand, four hundred twenty", and thus it is an iban number.