12133000210000 has 200 divisors, whose sum is σ = 29539286183880. Its totient is φ = 4826161152000.

The previous prime is 12133000209973. The next prime is 12133000210027. The reversal of 12133000210000 is 1200033121.

It is an interprime number because it is at equal distance from previous prime (12133000209973) and next prime (12133000210027).

It can be written as a sum of positive squares in 20 ways, for example, as 11778651456016 + 354348753984 = 3432004^2 + 595272^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1552126092 + ... + 1552133908.

Almost surely, 2^{12133000210000} is an apocalyptic number.

12133000210000 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 12133000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769643091940).

12133000210000 is an abundant number, since it is smaller than the sum of its proper divisors (17406285973880).

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

12133000210000 is an equidigital number, since it uses as much as digits as its factorization.

12133000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12133000210000 its reverse (1200033121), we get a palindrome (12134200243121).

The spelling of 12133000210000 in words is "twelve trillion, one hundred thirty-three billion, two hundred ten thousand".