121288 has 8 divisors (see below), whose sum is σ = 227430. Its totient is φ = 60640.

The previous prime is 121283. The next prime is 121291. The reversal of 121288 is 882121.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 20164 = 318^2 + 142^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7573 + ... + 7588.

2¹²¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

121288 is a deficient number, since it is larger than the sum of its proper divisors (106142).

121288 is a wasteful number, since it uses less digits than its factorization.

121288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15167 (or 15163 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 121288 is about 348.2642674751. The cubic root of 121288 is about 49.5000850252.

The spelling of 121288 in words is "one hundred twenty-one thousand, two hundred eighty-eight".