12120420 has 96 divisors (see below), whose sum is σ = 37537920. Its totient is φ = 2903040.

The previous prime is 12120419. The next prime is 12120431. The reversal of 12120420 is 2402121.

12120420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 12120396 and 12120405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31791 + ... + 32169.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 2^12120420 is an apocalyptic number.

12120420 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 12120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768960).

12120420 is an abundant number, since it is smaller than the sum of its proper divisors (25417500).

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

12120420 is a wasteful number, since it uses less digits than its factorization.

12120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12120420 is about 3481.4393575072. The cubic root of 12120420 is about 229.7061148780.

Multiplying 12120420 by its sum of digits (12), we get a triangular number (145445040 = T₁₇₀₅₅).

Adding to 12120420 its reverse (2402121), we get a palindrome (14522541).

The spelling of 12120420 in words is "twelve million, one hundred twenty thousand, four hundred twenty".