12828337200 has 480 divisors, whose sum is σ = 53262464000. Its totient is φ = 2931344640.

The previous prime is 12828337177. The next prime is 12828337283. The reversal of 12828337200 is 273382821.

It is a happy number.

12828337200 is a `hidden beast` number, since 1 + 2 + 8 + 283 + 372 + 0 + 0 = 666.

It is a super-3 number, since 3×12828337200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3702669 + ... + 3706131.

Almost surely, 2^12828337200 is an apocalyptic number.

12828337200 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 12828337200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26631232000).

12828337200 is an abundant number, since it is smaller than the sum of its proper divisors (40434126800).

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

12828337200 is a wasteful number, since it uses less digits than its factorization.

12828337200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12828337200 in words is "twelve billion, eight hundred twenty-eight million, three hundred thirty-seven thousand, two hundred".