12264632424 has 384 divisors, whose sum is σ = 40154849280. Its totient is φ = 3341606400.

The previous prime is 12264632423. The next prime is 12264632453. The reversal of 12264632424 is 42423646221.

12264632424 is a `hidden beast` number, since 1 + 2 + 2 + 646 + 3 + 2 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (12264632423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20893459 + ... + 20894045.

It is an arithmetic number, because the mean of its divisors is an integer number (104569920).

Almost surely, 2^12264632424 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 12264632424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077424640).

12264632424 is an abundant number, since it is smaller than the sum of its proper divisors (27890216856).

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

12264632424 is a wasteful number, since it uses less digits than its factorization.

12264632424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 694 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 12264632424 in words is "twelve billion, two hundred sixty-four million, six hundred thirty-two thousand, four hundred twenty-four".