12287260440 has 1024 divisors, whose sum is σ = 53932032000. Its totient is φ = 2418647040.

The previous prime is 12287260429. The next prime is 12287260481. The reversal of 12287260440 is 4406278221.

12287260440 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 7 + 2 + 604 + 40 = 666.

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 = 12287260395 and 12287260404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112727106 + ... + 112727214.

It is an arithmetic number, because the mean of its divisors is an integer number (52668000).

Almost surely, 2^12287260440 is an apocalyptic number.

12287260440 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 12287260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966016000).

12287260440 is an abundant number, since it is smaller than the sum of its proper divisors (41644771560).

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

12287260440 is a wasteful number, since it uses less digits than its factorization.

12287260440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12287260440 in words is "twelve billion, two hundred eighty-seven million, two hundred sixty thousand, four hundred forty".