12288570 has 64 divisors (see below), whose sum is σ = 34007040. Its totient is φ = 2783808.

The previous prime is 12288559. The next prime is 12288581. The reversal of 12288570 is 7588221.

12288570 = 83² + 84² + ... + 334².

12288570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12288559) and next prime (12288581).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34051 + ... + 34409.

It is an arithmetic number, because the mean of its divisors is an integer number (531360).

Almost surely, 2^12288570 is an apocalyptic number.

12288570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003520).

12288570 is an abundant number, since it is smaller than the sum of its proper divisors (21718470).

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

12288570 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (12288569) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (539).

12288570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539.

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 12288570 is about 3505.5056696574. The cubic root of 12288570 is about 230.7634992594.

The spelling of 12288570 in words is "twelve million, two hundred eighty-eight thousand, five hundred seventy".