12182640 has 80 divisors (see below), whose sum is σ = 39426048. Its totient is φ = 3106048.

The previous prime is 12182623. The next prime is 12182641. The reversal of 12182640 is 4628121.

12182640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12182640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12182641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4417 + ... + 6623.

Almost surely, 2^12182640 is an apocalyptic number.

12182640 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 12182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713024).

12182640 is an abundant number, since it is smaller than the sum of its proper divisors (27243408).

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

12182640 is a wasteful number, since it uses less digits than its factorization.

12182640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12182640 is about 3490.3638778786. The cubic root of 12182640 is about 230.0985085276.

The spelling of 12182640 in words is "twelve million, one hundred eighty-two thousand, six hundred forty".