12231133332000 has 384 divisors, whose sum is σ = 43869782331648. Its totient is φ = 2954409984000.

The previous prime is 12231133331969. The next prime is 12231133332007. The reversal of 12231133332000 is 23333113221.

It is a super-2 number, since 2×12231133332000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12231133332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36396744 + ... + 36731256.

It is an arithmetic number, because the mean of its divisors is an integer number (114244224822).

Almost surely, 2^{12231133332000} is an apocalyptic number.

12231133332000 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 12231133332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934891165824).

12231133332000 is an abundant number, since it is smaller than the sum of its proper divisors (31638648999648).

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

12231133332000 is a wasteful number, since it uses less digits than its factorization.

12231133332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334829 (or 334811 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12231133332000 its reverse (23333113221), we get a palindrome (12254466445221).

The spelling of 12231133332000 in words is "twelve trillion, two hundred thirty-one billion, one hundred thirty-three million, three hundred thirty-two thousand".