12211013031012 has 144 divisors (see below), whose sum is σ = 33225389188992. Its totient is φ = 3772382423040.

The previous prime is 12211013031001. The next prime is 12211013031031. The reversal of 12211013031012 is 21013031011221.

12211013031012 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 130 + 310 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1579828 + ... + 5188244.

It is an arithmetic number, because the mean of its divisors is an integer number (230731869368).

Almost surely, 2^{12211013031012} is an apocalyptic number.

12211013031012 is a gapful number since it is divisible by the number (12) 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 12211013031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612694594496).

12211013031012 is an abundant number, since it is smaller than the sum of its proper divisors (21014376157980).

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

12211013031012 is a wasteful number, since it uses less digits than its factorization.

12211013031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608578 (or 3608573 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12211013031012 its reverse (21013031011221), we get a palindrome (33224044042233).

The spelling of 12211013031012 in words is "twelve trillion, two hundred eleven billion, thirteen million, thirty-one thousand, twelve".