12263642200 has 72 divisors (see below), whose sum is σ = 28802860740. Its totient is φ = 4856080000.

The previous prime is 12263642173. The next prime is 12263642203. The reversal of 12263642200 is 224636221.

12263642200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263642203) 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 17 ways as a sum of consecutive naturals, for example, 2037195 + ... + 2043205.

Almost surely, 2^12263642200 is an apocalyptic number.

12263642200 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 12263642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401430370).

12263642200 is an abundant number, since it is smaller than the sum of its proper divisors (16539218540).

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

12263642200 is a wasteful number, since it uses less digits than its factorization.

12263642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

It can be divided in two parts, 122636 and 42200, that added together give a square (164836 = 406²).

The spelling of 12263642200 in words is "twelve billion, two hundred sixty-three million, six hundred forty-two thousand, two hundred".