121800224 has 96 divisors (see below), whose sum is σ = 298158336. Its totient is φ = 47692800.

The previous prime is 121800221. The next prime is 121800227. The reversal of 121800224 is 422008121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121800221) and next prime (121800227).

It is a junction number, because it is equal to n+sod(n) for n = 121800196 and 121800205.

It is not an unprimeable number, because it can be changed into a prime (121800221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439574 + ... + 439850.

It is an arithmetic number, because the mean of its divisors is an integer number (3105816).

Almost surely, 2^121800224 is an apocalyptic number.

121800224 is a gapful number since it is divisible by the number (14) 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 121800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149079168).

121800224 is an abundant number, since it is smaller than the sum of its proper divisors (176358112).

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

121800224 is a wasteful number, since it uses less digits than its factorization.

121800224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 121800224 is about 11036.3138773777. The cubic root of 121800224 is about 495.6967014975.

Adding to 121800224 its reverse (422008121), we get a palindrome (543808345).

The spelling of 121800224 in words is "one hundred twenty-one million, eight hundred thousand, two hundred twenty-four".