12449920 has 96 divisors (see below), whose sum is σ = 34709580. Its totient is φ = 4257792.

The previous prime is 12449909. The next prime is 12449939. The reversal of 12449920 is 2994421.

It is a happy number.

12449920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 3136 = 3528^2 + 56^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31162 + ... + 31558.

Almost surely, 2^12449920 is an apocalyptic number.

12449920 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 12449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354790).

12449920 is an abundant number, since it is smaller than the sum of its proper divisors (22259660).

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

12449920 is an equidigital number, since it uses as much as digits as its factorization.

12449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 12449920 is about 3528.4444164532. Note that the first 4 decimals coincide. The cubic root of 12449920 is about 231.7690924915.

The spelling of 12449920 in words is "twelve million, four hundred forty-nine thousand, nine hundred twenty".