12133332112000 has 256 divisors, whose sum is σ = 33180938444160. Its totient is φ = 4412113024000.

The previous prime is 12133332111991. The next prime is 12133332112037. The reversal of 12133332112000 is 21123333121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21011127 + ... + 21580873.

Almost surely, 2^{12133332112000} is an apocalyptic number.

12133332112000 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 12133332112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590469222080).

12133332112000 is an abundant number, since it is smaller than the sum of its proper divisors (21047606332160).

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

12133332112000 is an frugal number, since it uses more digits than its factorization.

12133332112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569809 (or 569765 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12133332112000 its reverse (21123333121), we get a palindrome (12154455445121).

The spelling of 12133332112000 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred twelve thousand".