121680288 has 144 divisors (see below), whose sum is σ = 379459080. Its totient is φ = 36814848.

The previous prime is 121680287. The next prime is 121680319. The reversal of 121680288 is 882086121.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 63504 = 11028^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121680287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141556 + ... + 142412.

Almost surely, 2^121680288 is an apocalyptic number.

121680288 is a gapful number since it is divisible by the number (18) 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 121680288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189729540).

121680288 is an abundant number, since it is smaller than the sum of its proper divisors (257778792).

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

121680288 is a wasteful number, since it uses less digits than its factorization.

121680288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 121680288 is about 11030.8788407815. The cubic root of 121680288 is about 495.5339448065.

The spelling of 121680288 in words is "one hundred twenty-one million, six hundred eighty thousand, two hundred eighty-eight".