12612052000 has 96 divisors (see below), whose sum is σ = 31023457920. Its totient is φ = 5039020800.

The previous prime is 12612051941. The next prime is 12612052003. The reversal of 12612052000 is 25021621.

12612052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12612052003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5786911 + ... + 5789089.

It is an arithmetic number, because the mean of its divisors is an integer number (323161020).

Almost surely, 2^12612052000 is an apocalyptic number.

12612052000 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 12612052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511728960).

12612052000 is an abundant number, since it is smaller than the sum of its proper divisors (18411405920).

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

12612052000 is a wasteful number, since it uses less digits than its factorization.

12612052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12612052000 its reverse (25021621), we get a palindrome (12637073621).

The spelling of 12612052000 in words is "twelve billion, six hundred twelve million, fifty-two thousand".