121868200 has 48 divisors (see below), whose sum is σ = 288714780. Its totient is φ = 47823360.

The previous prime is 121868183. The next prime is 121868203. The reversal of 121868200 is 2868121.

It can be written as a sum of positive squares in 6 ways, for example, as 63712324 + 58155876 = 7982^2 + 7626^2 .

It is not an unprimeable number, because it can be changed into a prime (121868203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4852 + ... + 16348.

Almost surely, 2^121868200 is an apocalyptic number.

121868200 is a gapful number since it is divisible by the number (10) 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 121868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144357390).

121868200 is an abundant number, since it is smaller than the sum of its proper divisors (166846580).

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

121868200 is a wasteful number, since it uses less digits than its factorization.

121868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 121868200 is about 11039.3930992605. The cubic root of 121868200 is about 495.7888995012.

The spelling of 121868200 in words is "one hundred twenty-one million, eight hundred sixty-eight thousand, two hundred".