121288288 has 36 divisors (see below), whose sum is σ = 260938692. Its totient is φ = 55037120.

The previous prime is 121288273. The next prime is 121288289. The reversal of 121288288 is 882882121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121288288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121288289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206331 + ... + 206917.

It is an arithmetic number, because the mean of its divisors is an integer number (7248297).

Almost surely, 2^121288288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130469346).

121288288 is an abundant number, since it is smaller than the sum of its proper divisors (139650404).

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

121288288 is an frugal number, since it uses more digits than its factorization.

121288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 600 counting only the distinct ones).

The product of its digits is 32768, while the sum is 40.

The square root of 121288288 is about 11013.0962040654. The cubic root of 121288288 is about 495.0012420470.

The spelling of 121288288 in words is "one hundred twenty-one million, two hundred eighty-eight thousand, two hundred eighty-eight".