12133123200 has 288 divisors, whose sum is σ = 47230794000. Its totient is φ = 2941286400.

The previous prime is 12133123187. The next prime is 12133123217. The reversal of 12133123200 is 232133121.

12133123200 is a `hidden beast` number, since 12 + 1 + 331 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297651 + ... + 335949.

Almost surely, 2^12133123200 is an apocalyptic number.

12133123200 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 12133123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615397000).

12133123200 is an abundant number, since it is smaller than the sum of its proper divisors (35097670800).

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

12133123200 is a wasteful number, since it uses less digits than its factorization.

12133123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38340 (or 38320 counting only the distinct ones).

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

Adding to 12133123200 its reverse (232133121), we get a palindrome (12365256321).

The spelling of 12133123200 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred".