121020200 has 144 divisors (see below), whose sum is σ = 334917180. Its totient is φ = 40535040.

The previous prime is 121020191. The next prime is 121020209. The reversal of 121020200 is 2020121.

It is an interprime number because it is at equal distance from previous prime (121020191) and next prime (121020209).

It can be written as a sum of positive squares in 6 ways, for example, as 38464804 + 82555396 = 6202^2 + 9086^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (121020209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519284 + ... + 519516.

Almost surely, 2^121020200 is an apocalyptic number.

121020200 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 121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167458590).

121020200 is an abundant number, since it is smaller than the sum of its proper divisors (213896980).

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

121020200 is a wasteful number, since it uses less digits than its factorization.

121020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 121020200 is about 11000.9181435006. The cubic root of 121020200 is about 494.6362664756.

Adding to 121020200 its reverse (2020121), we get a palindrome (123040321).

The spelling of 121020200 in words is "one hundred twenty-one million, twenty thousand, two hundred".