12283545600 has 864 divisors, whose sum is σ = 49112481600. Its totient is φ = 2919628800.

The previous prime is 12283545557. The next prime is 12283545613. The reversal of 12283545600 is 654538221.

12283545600 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 3 + 5 + 45 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 201369570 + ... + 201369630.

It is an arithmetic number, because the mean of its divisors is an integer number (56843150).

Almost surely, 2^12283545600 is an apocalyptic number.

12283545600 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 12283545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24556240800).

12283545600 is an abundant number, since it is smaller than the sum of its proper divisors (36828936000).

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

12283545600 is a wasteful number, since it uses less digits than its factorization.

12283545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12283545600 in words is "twelve billion, two hundred eighty-three million, five hundred forty-five thousand, six hundred".