12036010560 has 448 divisors, whose sum is σ = 46454446080. Its totient is φ = 2579005440.

The previous prime is 12036010559. The next prime is 12036010577. The reversal of 12036010560 is 6501063021.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12036010560.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13661320 + ... + 13662200.

It is an arithmetic number, because the mean of its divisors is an integer number (103692960).

Almost surely, 2^12036010560 is an apocalyptic number.

12036010560 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 12036010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227223040).

12036010560 is an abundant number, since it is smaller than the sum of its proper divisors (34418435520).

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

12036010560 is a wasteful number, since it uses less digits than its factorization.

12036010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 12036010560 its reverse (6501063021), we get a palindrome (18537073581).

The spelling of 12036010560 in words is "twelve billion, thirty-six million, ten thousand, five hundred sixty".