12882729600 has 576 divisors, whose sum is σ = 52138850400. Its totient is φ = 3002572800.

The previous prime is 12882729589. The next prime is 12882729611. The reversal of 12882729600 is 692728821.

12882729600 is a `hidden beast` number, since 12 + 8 + 8 + 2 + 7 + 29 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12882729589) and next prime (12882729611).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7112695 + ... + 7114505.

Almost surely, 2^12882729600 is an apocalyptic number.

12882729600 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 12882729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26069425200).

12882729600 is an abundant number, since it is smaller than the sum of its proper divisors (39256120800).

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

12882729600 is a wasteful number, since it uses less digits than its factorization.

12882729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12882729600 in words is "twelve billion, eight hundred eighty-two million, seven hundred twenty-nine thousand, six hundred".