12285098280 has 1536 divisors, whose sum is σ = 58118860800. Its totient is φ = 2257403904.

The previous prime is 12285098257. The next prime is 12285098303. The reversal of 12285098280 is 8289058221.

12285098280 is a `hidden beast` number, since 1 + 2 + 285 + 0 + 98 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (12285098257) and next prime (12285098303).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 285699939 + ... + 285699981.

It is an arithmetic number, because the mean of its divisors is an integer number (37837800).

Almost surely, 2^12285098280 is an apocalyptic number.

12285098280 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 12285098280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29059430400).

12285098280 is an abundant number, since it is smaller than the sum of its proper divisors (45833762520).

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

12285098280 is a wasteful number, since it uses less digits than its factorization.

12285098280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12285098280 in words is "twelve billion, two hundred eighty-five million, ninety-eight thousand, two hundred eighty".