12287751840 has 1152 divisors, whose sum is σ = 56216788992. Its totient is φ = 2463436800.

The previous prime is 12287751829. The next prime is 12287751841. The reversal of 12287751840 is 4815778221.

12287751840 is a `hidden beast` number, since 1 + 2 + 28 + 77 + 518 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287751841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81375765 + ... + 81375915.

It is an arithmetic number, because the mean of its divisors is an integer number (48799296).

Almost surely, 2^12287751840 is an apocalyptic number.

12287751840 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 12287751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108394496).

12287751840 is an abundant number, since it is smaller than the sum of its proper divisors (43929037152).

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

12287751840 is a wasteful number, since it uses less digits than its factorization.

12287751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 12287751840 in words is "twelve billion, two hundred eighty-seven million, seven hundred fifty-one thousand, eight hundred forty".