121119200 has 72 divisors (see below), whose sum is σ = 298809000. Its totient is φ = 47936000.

The previous prime is 121119199. The next prime is 121119209. The reversal of 121119200 is 2911121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121119209) 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, 80051 + ... + 81549.

It is an arithmetic number, because the mean of its divisors is an integer number (4150125).

Almost surely, 2^121119200 is an apocalyptic number.

121119200 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 121119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149404500).

121119200 is an abundant number, since it is smaller than the sum of its proper divisors (177689800).

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

121119200 is a wasteful number, since it uses less digits than its factorization.

121119200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 121119200 is about 11005.4168480799. The cubic root of 121119200 is about 494.7711079965.

The spelling of 121119200 in words is "one hundred twenty-one million, one hundred nineteen thousand, two hundred".