12824137152 has 84 divisors (see below), whose sum is σ = 36807882696. Its totient is φ = 4268920320.

The previous prime is 12824137097. The next prime is 12824137159. The reversal of 12824137152 is 25173142821.

12824137152 is a `hidden beast` number, since 1 + 282 + 4 + 1 + 371 + 5 + 2 = 666.

It is a super-2 number, since 2×12824137152² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824137159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421327 + ... + 450737.

Almost surely, 2^12824137152 is an apocalyptic number.

12824137152 is a gapful number since it is divisible by the number (12) 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 12824137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403941348).

12824137152 is an abundant number, since it is smaller than the sum of its proper divisors (23983745544).

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

12824137152 is a wasteful number, since it uses less digits than its factorization.

12824137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30186 (or 30173 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

Adding to 12824137152 its reverse (25173142821), we get a palindrome (37997279973).

The spelling of 12824137152 in words is "twelve billion, eight hundred twenty-four million, one hundred thirty-seven thousand, one hundred fifty-two".