12945240 has 192 divisors, whose sum is σ = 52565760. Its totient is φ = 2684160.

The previous prime is 12945239. The next prime is 12945241. The reversal of 12945240 is 4254921.

It is an interprime number because it is at equal distance from previous prime (12945239) and next prime (12945241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12945241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27487 + ... + 27953.

It is an arithmetic number, because the mean of its divisors is an integer number (273780).

Almost surely, 2^12945240 is an apocalyptic number.

12945240 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 12945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26282880).

12945240 is an abundant number, since it is smaller than the sum of its proper divisors (39620520).

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

12945240 is a wasteful number, since it uses less digits than its factorization.

12945240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12945240 is about 3597.9494159868. The cubic root of 12945240 is about 234.8028526112.

It can be divided in two parts, 129 and 45240, that added together give a square (45369 = 213²).

The spelling of 12945240 in words is "twelve million, nine hundred forty-five thousand, two hundred forty".