12646233000 has 512 divisors, whose sum is σ = 46904832000. Its totient is φ = 3144960000.

The previous prime is 12646232993. The next prime is 12646233001. The reversal of 12646233000 is 33264621.

12646233000 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 623 + 30 + 0 + 0 = 666.

12646233000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12646233001) 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 127 ways as a sum of consecutive naturals, for example, 24272740 + ... + 24273260.

It is an arithmetic number, because the mean of its divisors is an integer number (91611000).

Almost surely, 2^12646233000 is an apocalyptic number.

12646233000 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 12646233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23452416000).

12646233000 is an abundant number, since it is smaller than the sum of its proper divisors (34258599000).

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

12646233000 is a wasteful number, since it uses less digits than its factorization.

12646233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12646233000 its reverse (33264621), we get a palindrome (12679497621).

The spelling of 12646233000 in words is "twelve billion, six hundred forty-six million, two hundred thirty-three thousand".