121121200 has 60 divisors (see below), whose sum is σ = 306328360. Its totient is φ = 45895680.

The previous prime is 121121191. The next prime is 121121201. The reversal of 121121200 is 2121121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121121201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369 + ... + 15568.

Almost surely, 2^121121200 is an apocalyptic number.

121121200 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 121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153164180).

121121200 is an abundant number, since it is smaller than the sum of its proper divisors (185207160).

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

121121200 is a wasteful number, since it uses less digits than its factorization.

121121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15974 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 121121200 is about 11005.5077120504. The cubic root of 121121200 is about 494.7738313103.

Adding to 121121200 its reverse (2121121), we get a palindrome (123242321).

The spelling of 121121200 in words is "one hundred twenty-one million, one hundred twenty-one thousand, two hundred".