10311222012 has 288 divisors, whose sum is σ = 31141458432. Its totient is φ = 2597557248.

The previous prime is 10311222011. The next prime is 10311222067. The reversal of 10311222012 is 21022211301.

10311222012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10311221982 and 10311222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311222011) 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 95 ways as a sum of consecutive naturals, for example, 35191738 + ... + 35192030.

It is an arithmetic number, because the mean of its divisors is an integer number (108130064).

Almost surely, 2^10311222012 is an apocalyptic number.

10311222012 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 10311222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570729216).

10311222012 is an abundant number, since it is smaller than the sum of its proper divisors (20830236420).

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

10311222012 is a wasteful number, since it uses less digits than its factorization.

10311222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10311222012 its reverse (21022211301), we get a palindrome (31333433313).

The spelling of 10311222012 in words is "ten billion, three hundred eleven million, two hundred twenty-two thousand, twelve".