12281793480 has 768 divisors, whose sum is σ = 49674643200. Its totient is φ = 2694021120.

The previous prime is 12281793479. The next prime is 12281793487. The reversal of 12281793480 is 8439718221.

It is a happy number.

12281793480 is a `hidden beast` number, since 1 + 2 + 2 + 81 + 7 + 93 + 480 = 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 (12281793487) 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, 52711444 + ... + 52711676.

It is an arithmetic number, because the mean of its divisors is an integer number (64680525).

Almost surely, 2^12281793480 is an apocalyptic number.

12281793480 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 12281793480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837321600).

12281793480 is an abundant number, since it is smaller than the sum of its proper divisors (37392849720).

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

12281793480 is a wasteful number, since it uses less digits than its factorization.

12281793480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12281793480 in words is "twelve billion, two hundred eighty-one million, seven hundred ninety-three thousand, four hundred eighty".