271281120 has 192 divisors, whose sum is σ = 940584960. Its totient is φ = 65177600.

The previous prime is 271281103. The next prime is 271281137. The reversal of 271281120 is 21182172.

271281120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (271281103) and next prime (271281137).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008346 + ... + 1008614.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^271281120 is an apocalyptic number.

271281120 is a gapful number since it is divisible by the number (20) 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 271281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470292480).

271281120 is an abundant number, since it is smaller than the sum of its proper divisors (669303840).

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

271281120 is a wasteful number, since it uses less digits than its factorization.

271281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 271281120 is about 16470.6138319129. The cubic root of 271281120 is about 647.3510497511.

The spelling of 271281120 in words is "two hundred seventy-one million, two hundred eighty-one thousand, one hundred twenty".