1312212101120 has 96 divisors (see below), whose sum is σ = 3151528248960. Its totient is φ = 524386713600.

The previous prime is 1312212101099. The next prime is 1312212101153. The reversal of 1312212101120 is 211012122131.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 10824845 + ... + 10945395.

It is an arithmetic number, because the mean of its divisors is an integer number (32828419260).

Almost surely, 2^{1312212101120} is an apocalyptic number.

1312212101120 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 1312212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575764124480).

1312212101120 is an abundant number, since it is smaller than the sum of its proper divisors (1839316147840).

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

1312212101120 is a wasteful number, since it uses less digits than its factorization.

1312212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121641 (or 121621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1312212101120 its reverse (211012122131), we get a palindrome (1523224223251).

The spelling of 1312212101120 in words is "one trillion, three hundred twelve billion, two hundred twelve million, one hundred one thousand, one hundred twenty".