12133120032 has 192 divisors, whose sum is σ = 38673936000. Its totient is φ = 3670179840.

The previous prime is 12133120019. The next prime is 12133120061. The reversal of 12133120032 is 23002133121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12133119987 and 12133120014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9969088 + ... + 9970304.

It is an arithmetic number, because the mean of its divisors is an integer number (201426750).

Almost surely, 2^12133120032 is an apocalyptic number.

12133120032 is a gapful number since it is divisible by the number (12) 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 12133120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336968000).

12133120032 is an abundant number, since it is smaller than the sum of its proper divisors (26540815968).

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

12133120032 is a wasteful number, since it uses less digits than its factorization.

12133120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

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

Adding to 12133120032 its reverse (23002133121), we get a palindrome (35135253153).

The spelling of 12133120032 in words is "twelve billion, one hundred thirty-three million, one hundred twenty thousand, thirty-two".