12057582240 has 576 divisors, whose sum is σ = 47135716992. Its totient is φ = 2910504960.

The previous prime is 12057582233. The next prime is 12057582247. The reversal of 12057582240 is 4228575021.

It is a happy number.

12057582240 is a `hidden beast` number, since 1 + 2 + 0 + 57 + 582 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12057582233) and next prime (12057582247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12057582195 and 12057582204.

It is not an unprimeable number, because it can be changed into a prime (12057582247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51749164 + ... + 51749396.

It is an arithmetic number, because the mean of its divisors is an integer number (81832842).

Almost surely, 2^12057582240 is an apocalyptic number.

12057582240 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 12057582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23567858496).

12057582240 is an abundant number, since it is smaller than the sum of its proper divisors (35078134752).

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

12057582240 is an equidigital number, since it uses as much as digits as its factorization.

12057582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 12057582240 in words is "twelve billion, fifty-seven million, five hundred eighty-two thousand, two hundred forty".