12126564 has 48 divisors (see below), whose sum is σ = 32121600. Its totient is φ = 3954528.

The previous prime is 12126557. The next prime is 12126571. The reversal of 12126564 is 46562121.

12126564 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 656 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12126557) and next prime (12126571).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3882 + ... + 6270.

It is an arithmetic number, because the mean of its divisors is an integer number (669200).

Almost surely, 2^12126564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12126564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060800).

12126564 is an abundant number, since it is smaller than the sum of its proper divisors (19995036).

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

12126564 is a wasteful number, since it uses less digits than its factorization.

12126564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

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

The square root of 12126564 is about 3482.3216393665. The cubic root of 12126564 is about 229.7449220031.

Adding to 12126564 its reverse (46562121), we get a palindrome (58688685).

It can be divided in two parts, 1212 and 6564, that added together give a 5-th power (7776 = 6⁵).

The spelling of 12126564 in words is "twelve million, one hundred twenty-six thousand, five hundred sixty-four".