121921200 has 300 divisors, whose sum is σ = 452100528. Its totient is φ = 31449600.

The previous prime is 121921193. The next prime is 121921201. The reversal of 121921200 is 2129121.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (121921201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1717165 + ... + 1717235.

Almost surely, 2^121921200 is an apocalyptic number.

121921200 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 121921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050264).

121921200 is an abundant number, since it is smaller than the sum of its proper divisors (330179328).

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

121921200 is a wasteful number, since it uses less digits than its factorization.

121921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121921200 is about 11041.7933326068. The cubic root of 121921200 is about 495.8607612977.

The spelling of 121921200 in words is "one hundred twenty-one million, nine hundred twenty-one thousand, two hundred".