271125120 has 128 divisors (see below), whose sum is σ = 987719040. Its totient is φ = 61968384.

The previous prime is 271125109. The next prime is 271125131. The reversal of 271125120 is 21521172.

It is an interprime number because it is at equal distance from previous prime (271125109) and next prime (271125131).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3354 + ... + 23526.

It is an arithmetic number, because the mean of its divisors is an integer number (7716555).

Almost surely, 2^271125120 is an apocalyptic number.

271125120 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 271125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493859520).

271125120 is an abundant number, since it is smaller than the sum of its proper divisors (716593920).

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

271125120 is a wasteful number, since it uses less digits than its factorization.

271125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202 (or 20190 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 271125120 is about 16465.8774439749. The cubic root of 271125120 is about 647.2269397167.

Adding to 271125120 its reverse (21521172), we get a palindrome (292646292).

The spelling of 271125120 in words is "two hundred seventy-one million, one hundred twenty-five thousand, one hundred twenty".