12067105445640 has 320 divisors, whose sum is σ = 46388054592000. Its totient is φ = 2756110136832.

The previous prime is 12067105445623. The next prime is 12067105445677. The reversal of 12067105445640 is 4654450176021.

12067105445640 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 7 + 10 + 544 + 56 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 29895886 + ... + 30296834.

It is an arithmetic number, because the mean of its divisors is an integer number (144962670600).

Almost surely, 2^{12067105445640} is an apocalyptic number.

12067105445640 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 12067105445640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194027296000).

12067105445640 is an abundant number, since it is smaller than the sum of its proper divisors (34320949146360).

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

12067105445640 is a wasteful number, since it uses less digits than its factorization.

12067105445640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402306 (or 402293 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 12067105445640 in words is "twelve trillion, sixty-seven billion, one hundred five million, four hundred forty-five thousand, six hundred forty".