12072001536 has 560 divisors, whose sum is σ = 43389523584. Its totient is φ = 3269984256.

The previous prime is 12072001511. The next prime is 12072001537. The reversal of 12072001536 is 63510027021.

It is a happy number.

12072001536 is a `hidden beast` number, since 120 + 7 + 2 + 0 + 0 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12072001537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106831816 + ... + 106831928.

Almost surely, 2^12072001536 is an apocalyptic number.

12072001536 is a gapful number since it is divisible by the number (16) 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 12072001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21694761792).

12072001536 is an abundant number, since it is smaller than the sum of its proper divisors (31317522048).

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

12072001536 is an equidigital number, since it uses as much as digits as its factorization.

12072001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 12072001536 its reverse (63510027021), we get a palindrome (75582028557).

The spelling of 12072001536 in words is "twelve billion, seventy-two million, one thousand, five hundred thirty-six".