12420920 has 48 divisors (see below), whose sum is σ = 29264760. Its totient is φ = 4744256.

The previous prime is 12420917. The next prime is 12420923. The reversal of 12420920 is 2902421.

It is an interprime number because it is at equal distance from previous prime (12420917) and next prime (12420923).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12420892 and 12420901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20867 + ... + 21453.

Almost surely, 2^12420920 is an apocalyptic number.

12420920 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 12420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14632380).

12420920 is an abundant number, since it is smaller than the sum of its proper divisors (16843840).

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

12420920 is a wasteful number, since it uses less digits than its factorization.

12420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12420920 is about 3524.3325609255. The cubic root of 12420920 is about 231.5889968453.

The spelling of 12420920 in words is "twelve million, four hundred twenty thousand, nine hundred twenty".