12271754880 has 1024 divisors, whose sum is σ = 56683929600. Its totient is φ = 2433024000.

The previous prime is 12271754843. The next prime is 12271754917. The reversal of 12271754880 is 8845717221.

12271754880 is a `hidden beast` number, since 1 + 2 + 27 + 1 + 7 + 548 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12271754843) and next prime (12271754917).

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 127 ways as a sum of consecutive naturals, for example, 30602680 + ... + 30603080.

It is an arithmetic number, because the mean of its divisors is an integer number (55355400).

Almost surely, 2^12271754880 is an apocalyptic number.

12271754880 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 12271754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341964800).

12271754880 is an abundant number, since it is smaller than the sum of its proper divisors (44412174720).

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

12271754880 is a wasteful number, since it uses less digits than its factorization.

12271754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 452 counting only the distinct ones).

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

The spelling of 12271754880 in words is "twelve billion, two hundred seventy-one million, seven hundred fifty-four thousand, eight hundred eighty".