121282200 has 288 divisors, whose sum is σ = 450908640. Its totient is φ = 29030400.

The previous prime is 121282181. The next prime is 121282201. The reversal of 121282200 is 2282121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121282201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1661364 + ... + 1661436.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^121282200 is an apocalyptic number.

121282200 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 121282200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225454320).

121282200 is an abundant number, since it is smaller than the sum of its proper divisors (329626440).

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

121282200 is a wasteful number, since it uses less digits than its factorization.

121282200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 121282200 is about 11012.8198023939. The cubic root of 121282200 is about 494.9929598019.

The spelling of 121282200 in words is "one hundred twenty-one million, two hundred eighty-two thousand, two hundred".