12057826284 has 288 divisors, whose sum is σ = 37865318400. Its totient is φ = 3158507520.

The previous prime is 12057826267. The next prime is 12057826349. The reversal of 12057826284 is 48262875021.

12057826284 is a `hidden beast` number, since 12 + 0 + 5 + 7 + 8 + 2 + 628 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46917484 + ... + 46917740.

It is an arithmetic number, because the mean of its divisors is an integer number (131476800).

Almost surely, 2^12057826284 is an apocalyptic number.

12057826284 is a gapful number since it is divisible by the number (14) 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 12057826284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932659200).

12057826284 is an abundant number, since it is smaller than the sum of its proper divisors (25807492116).

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

12057826284 is a wasteful number, since it uses less digits than its factorization.

12057826284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12057826284 in words is "twelve billion, fifty-seven million, eight hundred twenty-six thousand, two hundred eighty-four".