12133321200 has 1620 divisors, whose sum is σ = 59423404248. Its totient is φ = 2264371200.

The previous prime is 12133321181. The next prime is 12133321231. The reversal of 12133321200 is 212333121.

Added to its reverse (212333121) it gives a square (12345654321 = 111111²).

12133321200 is a `hidden beast` number, since 1 + 213 + 332 + 120 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 327927582 + ... + 327927618.

Almost surely, 2^12133321200 is an apocalyptic number.

12133321200 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 12133321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29711702124).

12133321200 is an abundant number, since it is smaller than the sum of its proper divisors (47290083048).

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

12133321200 is a wasteful number, since it uses less digits than its factorization.

12133321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

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

Adding to 12133321200 its reverse (212333121), we get a palindrome (12345654321).

It can be divided in two parts, 12133 and 321200, that added together give a palindrome (333333).

The spelling of 12133321200 in words is "twelve billion, one hundred thirty-three million, three hundred twenty-one thousand, two hundred".