121362288 has 80 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 39450880.

The previous prime is 121362239. The next prime is 121362299. The reversal of 121362288 is 882263121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507673 + ... + 507911.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^121362288 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 121362288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

121362288 is an abundant number, since it is smaller than the sum of its proper divisors (200045712).

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

121362288 is a wasteful number, since it uses less digits than its factorization.

121362288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 121362288 is about 11016.4553282805. The cubic root of 121362288 is about 495.1018910750.

The spelling of 121362288 in words is "one hundred twenty-one million, three hundred sixty-two thousand, two hundred eighty-eight".