121653200 has 60 divisors (see below), whose sum is σ = 307673760. Its totient is φ = 46097280.

The previous prime is 121653193. The next prime is 121653209. The reversal of 121653200 is 2356121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121653209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404 + ... + 15603.

It is an arithmetic number, because the mean of its divisors is an integer number (5127896).

Almost surely, 2^121653200 is an apocalyptic number.

121653200 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 121653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153836880).

121653200 is an abundant number, since it is smaller than the sum of its proper divisors (186020560).

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

121653200 is a wasteful number, since it uses less digits than its factorization.

121653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16044 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 121653200 is about 11029.6509464262. The cubic root of 121653200 is about 495.4971707875.

The spelling of 121653200 in words is "one hundred twenty-one million, six hundred fifty-three thousand, two hundred".