12285642600 has 1152 divisors, whose sum is σ = 55246464000. Its totient is φ = 2514758400.

The previous prime is 12285642583. The next prime is 12285642641. The reversal of 12285642600 is 624658221.

It is a happy number.

12285642600 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 5 + 6 + 42 + 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 287 ways as a sum of consecutive naturals, for example, 183367767 + ... + 183367833.

It is an arithmetic number, because the mean of its divisors is an integer number (47957000).

Almost surely, 2^12285642600 is an apocalyptic number.

12285642600 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 12285642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232000).

12285642600 is an abundant number, since it is smaller than the sum of its proper divisors (42960821400).

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

12285642600 is a wasteful number, since it uses less digits than its factorization.

12285642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12285642600 in words is "twelve billion, two hundred eighty-five million, six hundred forty-two thousand, six hundred".