12031216640912 has 180 divisors, whose sum is σ = 28897377876900. Its totient is φ = 4837394644992.

The previous prime is 12031216640897. The next prime is 12031216640923. The reversal of 12031216640912 is 21904661213021.

It can be written as a sum of positive squares in 6 ways, for example, as 203422648576 + 11827793992336 = 451024^2 + 3439156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70833464 + ... + 71003112.

It is an arithmetic number, because the mean of its divisors is an integer number (160540988205).

Almost surely, 2^{12031216640912} 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 12031216640912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448688938450).

12031216640912 is an abundant number, since it is smaller than the sum of its proper divisors (16866161235988).

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

12031216640912 is a wasteful number, since it uses less digits than its factorization.

12031216640912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170018 (or 169988 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

Adding to 12031216640912 its reverse (21904661213021), we get a palindrome (33935877853933).

The spelling of 12031216640912 in words is "twelve trillion, thirty-one billion, two hundred sixteen million, six hundred forty thousand, nine hundred twelve".