271113120 has 72 divisors (see below), whose sum is σ = 925178436. Its totient is φ = 72296448.

The previous prime is 271113119. The next prime is 271113133. The reversal of 271113120 is 21311172.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 253573776 + 17539344 = 15924^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×271113120³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 271113093 and 271113102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92697 + ... + 95576.

Almost surely, 2^271113120 is an apocalyptic number.

271113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271113120 is an abundant number, since it is smaller than the sum of its proper divisors (654065316).

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

271113120 is a wasteful number, since it uses less digits than its factorization.

271113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188294 (or 188283 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 271113120 is about 16465.5130500085. The cubic root of 271113120 is about 647.2173908193.

Adding to 271113120 its reverse (21311172), we get a palindrome (292424292).

The spelling of 271113120 in words is "two hundred seventy-one million, one hundred thirteen thousand, one hundred twenty".