123420120 has 128 divisors (see below), whose sum is σ = 384307200. Its totient is φ = 31689216.

The previous prime is 123420071. The next prime is 123420137. The reversal of 123420120 is 21024321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123420120.

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 31 ways as a sum of consecutive naturals, for example, 445422 + ... + 445698.

It is an arithmetic number, because the mean of its divisors is an integer number (3002400).

Almost surely, 2^123420120 is an apocalyptic number.

123420120 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 123420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192153600).

123420120 is an abundant number, since it is smaller than the sum of its proper divisors (260887080).

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

123420120 is a wasteful number, since it uses less digits than its factorization.

123420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123420120 is about 11109.4608330018. The cubic root of 123420120 is about 497.8845557470.

Adding to 123420120 its reverse (21024321), we get a palindrome (144444441).

The spelling of 123420120 in words is "one hundred twenty-three million, four hundred twenty thousand, one hundred twenty".