12133333102044 has 384 divisors, whose sum is σ = 37038591442944. Its totient is φ = 2997602784000.

The previous prime is 12133333102043. The next prime is 12133333102057. The reversal of 12133333102044 is 44020133333121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133333102043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3086574759 + ... + 3086578689.

It is an arithmetic number, because the mean of its divisors is an integer number (96454665216).

Almost surely, 2^{12133333102044} is an apocalyptic number.

12133333102044 is a gapful number since it is divisible by the number (14) 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 12133333102044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18519295721472).

12133333102044 is an abundant number, since it is smaller than the sum of its proper divisors (24905258340900).

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

12133333102044 is a wasteful number, since it uses less digits than its factorization.

12133333102044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 12133333102044 its reverse (44020133333121), we get a palindrome (56153466435165).

The spelling of 12133333102044 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-three million, one hundred two thousand, forty-four".