12282969600 has 720 divisors, whose sum is σ = 49868058240. Its totient is φ = 2969395200.

The previous prime is 12282969599. The next prime is 12282969617. The reversal of 12282969600 is 696928221.

12282969600 is a `hidden beast` number, since 12 + 2 + 8 + 29 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 34214221 + ... + 34214579.

It is an arithmetic number, because the mean of its divisors is an integer number (69261192).

Almost surely, 2^12282969600 is an apocalyptic number.

12282969600 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 12282969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934029120).

12282969600 is an abundant number, since it is smaller than the sum of its proper divisors (37585088640).

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

12282969600 is an equidigital number, since it uses as much as digits as its factorization.

12282969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12282969600 in words is "twelve billion, two hundred eighty-two million, nine hundred sixty-nine thousand, six hundred".