12996309600 has 288 divisors, whose sum is σ = 49769627040. Its totient is φ = 3261726720.

The previous prime is 12996309553. The next prime is 12996309619. The reversal of 12996309600 is 690369921.

It is a happy number.

12996309600 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 6 + 30 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349504 + ... + 384896.

It is an arithmetic number, because the mean of its divisors is an integer number (172811205).

Almost surely, 2^12996309600 is an apocalyptic number.

12996309600 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 12996309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24884813520).

12996309600 is an abundant number, since it is smaller than the sum of its proper divisors (36773317440).

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

12996309600 is a wasteful number, since it uses less digits than its factorization.

12996309600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35439 (or 35420 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 12996309600 in words is "twelve billion, nine hundred ninety-six million, three hundred nine thousand, six hundred".