12035336231040 has 384 divisors, whose sum is σ = 39267918547200. Its totient is φ = 3135356829696.

The previous prime is 12035336231029. The next prime is 12035336231047. The reversal of 12035336231040 is 4013263353021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12035336231040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12035336230992 and 12035336231010.

It is not an unprimeable number, because it can be changed into a prime (12035336231047) 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 47 ways as a sum of consecutive naturals, for example, 1288989252 + ... + 1288998588.

It is an arithmetic number, because the mean of its divisors is an integer number (102260204550).

Almost surely, 2^{12035336231040} is an apocalyptic number.

12035336231040 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 12035336231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19633959273600).

12035336231040 is an abundant number, since it is smaller than the sum of its proper divisors (27232582316160).

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

12035336231040 is an equidigital number, since it uses as much as digits as its factorization.

12035336231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 12035336231040 its reverse (4013263353021), we get a palindrome (16048599584061).

The spelling of 12035336231040 in words is "twelve trillion, thirty-five billion, three hundred thirty-six million, two hundred thirty-one thousand, forty".