12532734720 has 864 divisors, whose sum is σ = 50825449920. Its totient is φ = 2956124160.

The previous prime is 12532734719. The next prime is 12532734727. The reversal of 12532734720 is 2743723521.

12532734720 is a `hidden beast` number, since 12 + 532 + 73 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (12532734727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338722542 + ... + 338722578.

Almost surely, 2^12532734720 is an apocalyptic number.

12532734720 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 12532734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25412724960).

12532734720 is an abundant number, since it is smaller than the sum of its proper divisors (38292715200).

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

12532734720 is an frugal number, since it uses more digits than its factorization.

12532734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 12532734720 in words is "twelve billion, five hundred thirty-two million, seven hundred thirty-four thousand, seven hundred twenty".