13332121200 has 360 divisors, whose sum is σ = 48035485056. Its totient is φ = 3421440000.

The previous prime is 13332121183. The next prime is 13332121207. The reversal of 13332121200 is 212123331.

13332121200 is a `hidden beast` number, since 1 + 333 + 212 + 120 + 0 = 666.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13452705 + ... + 13453695.

Almost surely, 2^13332121200 is an apocalyptic number.

13332121200 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 13332121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017742528).

13332121200 is an abundant number, since it is smaller than the sum of its proper divisors (34703363856).

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

13332121200 is a wasteful number, since it uses less digits than its factorization.

13332121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13332121200 its reverse (212123331), we get a palindrome (13544244531).

The spelling of 13332121200 in words is "thirteen billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred".