12260820 has 96 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 2741760.

The previous prime is 12260819. The next prime is 12260821. The reversal of 12260820 is 2806221.

It is an interprime number because it is at equal distance from previous prime (12260819) and next prime (12260821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12260821) 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 31 ways as a sum of consecutive naturals, for example, 7866 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^12260820 is an apocalyptic number.

12260820 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 12260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

12260820 is an abundant number, since it is smaller than the sum of its proper divisors (28099500).

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

12260820 is a wasteful number, since it uses less digits than its factorization.

12260820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12260820 is about 3501.5453731174. The cubic root of 12260820 is about 230.5896652705.

The spelling of 12260820 in words is "twelve million, two hundred sixty thousand, eight hundred twenty".