12133102020000 has 480 divisors, whose sum is σ = 42897222244800. Its totient is φ = 2984048640000.

The previous prime is 12133102019981. The next prime is 12133102020007. The reversal of 12133102020000 is 2020133121.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (12133102020007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1006973976 + ... + 1006986024.

It is an arithmetic number, because the mean of its divisors is an integer number (89369213010).

Almost surely, 2^{12133102020000} is an apocalyptic number.

12133102020000 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 12133102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448611122400).

12133102020000 is an abundant number, since it is smaller than the sum of its proper divisors (30764120224800).

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

12133102020000 is a wasteful number, since it uses less digits than its factorization.

12133102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13386 (or 13363 counting only the distinct ones).

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

Adding to 12133102020000 its reverse (2020133121), we get a palindrome (12135122153121).

The spelling of 12133102020000 in words is "twelve trillion, one hundred thirty-three billion, one hundred two million, twenty thousand".