12182814720 has 544 divisors, whose sum is σ = 46430591040. Its totient is φ = 3057647616.

The previous prime is 12182814689. The next prime is 12182814733. The reversal of 12182814720 is 2741828121.

It is a happy number.

12182814720 is a `hidden beast` number, since 1 + 2 + 182 + 8 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

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

It is a congruent number.

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, 716636152 + ... + 716636168.

Almost surely, 2^12182814720 is an apocalyptic number.

12182814720 is a gapful number since it is divisible by the number (10) 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 12182814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215295520).

12182814720 is an abundant number, since it is smaller than the sum of its proper divisors (34247776320).

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

12182814720 is an frugal number, since it uses more digits than its factorization.

12182814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12182814720 in words is "twelve billion, one hundred eighty-two million, eight hundred fourteen thousand, seven hundred twenty".