12281596740 has 288 divisors, whose sum is σ = 45027440640. Its totient is φ = 2650060800.

The previous prime is 12281596727. The next prime is 12281596753. The reversal of 12281596740 is 4769518221.

12281596740 is a `hidden beast` number, since 12 + 2 + 8 + 1 + 596 + 7 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12281596727) and next prime (12281596753).

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

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, 1597626 + ... + 1605294.

It is an arithmetic number, because the mean of its divisors is an integer number (156345280).

Almost surely, 2^12281596740 is an apocalyptic number.

12281596740 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 12281596740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513720320).

12281596740 is an abundant number, since it is smaller than the sum of its proper divisors (32745843900).

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

12281596740 is a wasteful number, since it uses less digits than its factorization.

12281596740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12281596740 in words is "twelve billion, two hundred eighty-one million, five hundred ninety-six thousand, seven hundred forty".