12133103440 has 80 divisors (see below), whose sum is σ = 28781724816. Its totient is φ = 4755046400.

The previous prime is 12133103413. The next prime is 12133103447. The reversal of 12133103440 is 4430133121.

It can be written as a sum of positive squares in 8 ways, for example, as 2055352896 + 10077750544 = 45336^2 + 100388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133103447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3988320 + ... + 3991360.

Almost surely, 2^12133103440 is an apocalyptic number.

12133103440 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 12133103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14390862408).

12133103440 is an abundant number, since it is smaller than the sum of its proper divisors (16648621376).

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

12133103440 is a wasteful number, since it uses less digits than its factorization.

12133103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12133103440 its reverse (4430133121), we get a palindrome (16563236561).

The spelling of 12133103440 in words is "twelve billion, one hundred thirty-three million, one hundred three thousand, four hundred forty".