12126624 has 48 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 3971840.

The previous prime is 12126619. The next prime is 12126629. The reversal of 12126624 is 42662121.

It is an interprime number because it is at equal distance from previous prime (12126619) and next prime (12126629).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12126594 and 12126603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12126629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4594 + ... + 6734.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 2^12126624 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 12126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

12126624 is an abundant number, since it is smaller than the sum of its proper divisors (20260416).

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

12126624 is a wasteful number, since it uses less digits than its factorization.

12126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2205 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12126624 is about 3482.3302542981. The cubic root of 12126624 is about 229.7453009143.

Adding to 12126624 its reverse (42662121), we get a palindrome (54788745).

The spelling of 12126624 in words is "twelve million, one hundred twenty-six thousand, six hundred twenty-four".