121396288 has 56 divisors (see below), whose sum is σ = 264417048. Its totient is φ = 54951936.

The previous prime is 121396241. The next prime is 121396307. The reversal of 121396288 is 882693121.

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 85969984 = 5952^2 + 9272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121396288.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42720 + ... + 45472.

It is an arithmetic number, because the mean of its divisors is an integer number (4721733).

Almost surely, 2^121396288 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 121396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132208524).

121396288 is an abundant number, since it is smaller than the sum of its proper divisors (143020760).

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

121396288 is a wasteful number, since it uses less digits than its factorization.

121396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2821 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 121396288 is about 11017.9983663096. The cubic root of 121396288 is about 495.1481215058.

The spelling of 121396288 in words is "one hundred twenty-one million, three hundred ninety-six thousand, two hundred eighty-eight".