121213200 has 120 divisors (see below), whose sum is σ = 393287328. Its totient is φ = 31907840.

The previous prime is 121213189. The next prime is 121213201. The reversal of 121213200 is 2312121.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121213201) 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 23 ways as a sum of consecutive naturals, for example, 98992 + ... + 100208.

Almost surely, 2^121213200 is an apocalyptic number.

121213200 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 121213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196643664).

121213200 is an abundant number, since it is smaller than the sum of its proper divisors (272074128).

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

121213200 is a wasteful number, since it uses less digits than its factorization.

121213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121213200 is about 11009.6866440421. The cubic root of 121213200 is about 494.8990713518.

Adding to 121213200 its reverse (2312121), we get a palindrome (123525321).

The spelling of 121213200 in words is "one hundred twenty-one million, two hundred thirteen thousand, two hundred".