12281757840 has 400 divisors, whose sum is σ = 47426803776. Its totient is φ = 2920320000.

The previous prime is 12281757823. The next prime is 12281757841. The reversal of 12281757840 is 4875718221.

12281757840 is a `hidden beast` number, since 1 + 2 + 28 + 17 + 578 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12281757841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3776215 + ... + 3779465.

Almost surely, 2^12281757840 is an apocalyptic number.

12281757840 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 12281757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23713401888).

12281757840 is an abundant number, since it is smaller than the sum of its proper divisors (35145045936).

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

12281757840 is a wasteful number, since it uses less digits than its factorization.

12281757840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3325 counting only the distinct ones).

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

The spelling of 12281757840 in words is "twelve billion, two hundred eighty-one million, seven hundred fifty-seven thousand, eight hundred forty".