12133210200000 has 672 divisors, whose sum is σ = 41346521653248. Its totient is φ = 3137656320000.

The previous prime is 12133210199993. The next prime is 12133210200019. The reversal of 12133210200000 is 201233121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8502599287 + ... + 8502600713.

It is an arithmetic number, because the mean of its divisors is an integer number (61527561984).

Almost surely, 2^{12133210200000} is an apocalyptic number.

12133210200000 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 12133210200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673260826624).

12133210200000 is an abundant number, since it is smaller than the sum of its proper divisors (29213311453248).

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

12133210200000 is an equidigital number, since it uses as much as digits as its factorization.

12133210200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12133210200000 its reverse (201233121), we get a palindrome (12133411433121).

The spelling of 12133210200000 in words is "twelve trillion, one hundred thirty-three billion, two hundred ten million, two hundred thousand".