12010405330944 has 1280 divisors, whose sum is σ = 40450022300160. Its totient is φ = 3531582996480.

The previous prime is 12010405330943. The next prime is 12010405330991. The reversal of 12010405330944 is 44903350401021.

12010405330944 is a `hidden beast` number, since 1 + 20 + 10 + 4 + 0 + 533 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×12010405330944² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12010405330899 and 12010405330908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010405330943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73683468207 + ... + 73683468369.

It is an arithmetic number, because the mean of its divisors is an integer number (31601579922).

Almost surely, 2^{12010405330944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010405330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225011150080).

12010405330944 is an abundant number, since it is smaller than the sum of its proper divisors (28439616969216).

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

12010405330944 is an equidigital number, since it uses as much as digits as its factorization.

12010405330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 12010405330944 its reverse (44903350401021), we get a palindrome (56913755731965).

The spelling of 12010405330944 in words is "twelve trillion, ten billion, four hundred five million, three hundred thirty thousand, nine hundred forty-four".