121335200 has 144 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 40627200.

The previous prime is 121335199. The next prime is 121335229. The reversal of 121335200 is 2533121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262970 + ... + 263430.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^121335200 is an apocalyptic number.

121335200 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 121335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

121335200 is an abundant number, since it is smaller than the sum of its proper divisors (225142624).

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

121335200 is a wasteful number, since it uses less digits than its factorization.

121335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 121335200 is about 11015.2258261009. The cubic root of 121335200 is about 495.0650528387.

Adding to 121335200 its reverse (2533121), we get a palindrome (123868321).

The spelling of 121335200 in words is "one hundred twenty-one million, three hundred thirty-five thousand, two hundred".