12412640 has 48 divisors (see below), whose sum is σ = 30608928. Its totient is φ = 4747776.

The previous prime is 12412583. The next prime is 12412657. The reversal of 12412640 is 4621421.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1994 + ... + 5366.

It is an arithmetic number, because the mean of its divisors is an integer number (637686).

Almost surely, 2^12412640 is an apocalyptic number.

12412640 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 12412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304464).

12412640 is an abundant number, since it is smaller than the sum of its proper divisors (18196288).

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

12412640 is a wasteful number, since it uses less digits than its factorization.

12412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12412640 is about 3523.1576745868. The cubic root of 12412640 is about 231.5375249966.

The spelling of 12412640 in words is "twelve million, four hundred twelve thousand, six hundred forty".