1312221110112 has 384 divisors, whose sum is σ = 4386130560000. Its totient is φ = 377791856640.

The previous prime is 1312221110087. The next prime is 1312221110201. The reversal of 1312221110112 is 2110111222131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32550064 + ... + 32590352.

It is an arithmetic number, because the mean of its divisors is an integer number (11422215000).

Almost surely, 2^{1312221110112} is an apocalyptic number.

1312221110112 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 1312221110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193065280000).

1312221110112 is an abundant number, since it is smaller than the sum of its proper divisors (3073909449888).

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

1312221110112 is a wasteful number, since it uses less digits than its factorization.

1312221110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40491 (or 40477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1312221110112 its reverse (2110111222131), we get a palindrome (3422332332243).

The spelling of 1312221110112 in words is "one trillion, three hundred twelve billion, two hundred twenty-one million, one hundred ten thousand, one hundred twelve".