12121200 has 360 divisors, whose sum is σ = 53170208. Its totient is φ = 2488320.

The previous prime is 12121157. The next prime is 12121211. The reversal of 12121200 is 212121.

12121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327582 + ... + 327618.

Almost surely, 2^12121200 is an apocalyptic number.

12121200 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 12121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585104).

12121200 is an abundant number, since it is smaller than the sum of its proper divisors (41049008).

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

12121200 is a wasteful number, since it uses less digits than its factorization.

12121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12121200 is about 3481.5513783370. The cubic root of 12121200 is about 229.7110422905.

Adding to 12121200 its reverse (212121), we get a palindrome (12333321).

It can be divided in two parts, 12121 and 200, that added together give a palindrome (12321).

The spelling of 12121200 in words is "twelve million, one hundred twenty-one thousand, two hundred".