121327200 has 288 divisors, whose sum is σ = 452783520. Its totient is φ = 31334400.

The previous prime is 121327189. The next prime is 121327223. The reversal of 121327200 is 2723121.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885532 + ... + 885668.

It is an arithmetic number, because the mean of its divisors is an integer number (1572165).

Almost surely, 2^121327200 is an apocalyptic number.

121327200 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 121327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226391760).

121327200 is an abundant number, since it is smaller than the sum of its proper divisors (331456320).

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

121327200 is a wasteful number, since it uses less digits than its factorization.

121327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 121327200 is about 11014.8626863888. The cubic root of 121327200 is about 495.0541722163.

The spelling of 121327200 in words is "one hundred twenty-one million, three hundred twenty-seven thousand, two hundred".