275221120 has 64 divisors (see below), whose sum is σ = 664264800. Its totient is φ = 109032448.

The previous prime is 275221087. The next prime is 275221123. The reversal of 275221120 is 21122572.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 275221091 and 275221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66471 + ... + 70489.

Almost surely, 2^275221120 is an apocalyptic number.

275221120 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 275221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332132400).

275221120 is an abundant number, since it is smaller than the sum of its proper divisors (389043680).

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

275221120 is a wasteful number, since it uses less digits than its factorization.

275221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 275221120 is about 16589.7896309748. The cubic root of 275221120 is about 650.4699717499.

Adding to 275221120 its reverse (21122572), we get a palindrome (296343692).

The spelling of 275221120 in words is "two hundred seventy-five million, two hundred twenty-one thousand, one hundred twenty".