12410420 has 48 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4273920.

The previous prime is 12410417. The next prime is 12410441. The reversal of 12410420 is 2401421.

It is a super-3 number, since 3×12410420³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12410395 and 12410404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2696 + ... + 5664.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^12410420 is an apocalyptic number.

12410420 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 12410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12410420 is an abundant number, since it is smaller than the sum of its proper divisors (17527180).

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

12410420 is a wasteful number, since it uses less digits than its factorization.

12410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 12410420 is about 3522.8426022177. The cubic root of 12410420 is about 231.5237206823.

Adding to 12410420 its reverse (2401421), we get a palindrome (14811841).

The spelling of 12410420 in words is "twelve million, four hundred ten thousand, four hundred twenty".