12045840 has 80 divisors (see below), whose sum is σ = 38086848. Its totient is φ = 3148288.

The previous prime is 12045833. The next prime is 12045851. The reversal of 12045840 is 4854021.

12045840 is digitally balanced in base 2, because in such base 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 super-2 number, since 2×12045840² = 290204522611200, which contains 22 as substring.

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 12045840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12247 + ... + 13193.

Almost surely, 2^12045840 is an apocalyptic number.

12045840 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 12045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043424).

12045840 is an abundant number, since it is smaller than the sum of its proper divisors (26041008).

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

12045840 is a wasteful number, since it uses less digits than its factorization.

12045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12045840 is about 3470.7117425681. The cubic root of 12045840 is about 229.2339986540.

Adding to 12045840 its reverse (4854021), we get a palindrome (16899861).

The spelling of 12045840 in words is "twelve million, forty-five thousand, eight hundred forty".