121249200 has 120 divisors (see below), whose sum is σ = 393625600. Its totient is φ = 31898880.

The previous prime is 121249171. The next prime is 121249201. The reversal of 121249200 is 2942121.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (121249201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94161 + ... + 95439.

Almost surely, 2^121249200 is an apocalyptic number.

121249200 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 121249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196812800).

121249200 is an abundant number, since it is smaller than the sum of its proper divisors (272376400).

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

121249200 is a wasteful number, since it uses less digits than its factorization.

121249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121249200 is about 11011.3214465840. The cubic root of 121249200 is about 494.9480610742.

The spelling of 121249200 in words is "one hundred twenty-one million, two hundred forty-nine thousand, two hundred".