12410820 has 120 divisors (see below), whose sum is σ = 40005504. Its totient is φ = 3219264.

The previous prime is 12410813. The next prime is 12410837. The reversal of 12410820 is 2801421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12410793 and 12410802.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76059 + ... + 76221.

Almost surely, 2^12410820 is an apocalyptic number.

12410820 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 12410820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20002752).

12410820 is an abundant number, since it is smaller than the sum of its proper divisors (27594684).

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

12410820 is a wasteful number, since it uses less digits than its factorization.

12410820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12410820 is about 3522.8993740952. The cubic root of 12410820 is about 231.5262080677.

The spelling of 12410820 in words is "twelve million, four hundred ten thousand, eight hundred twenty".