12006006935040 has 800 divisors, whose sum is σ = 45242286433344. Its totient is φ = 3039015075840.

The previous prime is 12006006935033. The next prime is 12006006935177. The reversal of 12006006935040 is 4053960060021.

It is a happy number.

12006006935040 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 60 + 0 + 6 + 93 + 504 + 0 = 666.

12006006935040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12006006934986 and 12006006935004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 314546037 + ... + 314584203.

Almost surely, 2^{12006006935040} is an apocalyptic number.

12006006935040 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 12006006935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22621143216672).

12006006935040 is an abundant number, since it is smaller than the sum of its proper divisors (33236279498304).

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

12006006935040 is an equidigital number, since it uses as much as digits as its factorization.

12006006935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38280 (or 38255 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 12006006935040 its reverse (4053960060021), we get a palindrome (16059966995061).

The spelling of 12006006935040 in words is "twelve trillion, six billion, six million, nine hundred thirty-five thousand, forty".