1311212234112 has 128 divisors (see below), whose sum is σ = 3799979481600. Its totient is φ = 397290608640.

The previous prime is 1311212234099. The next prime is 1311212234131. The reversal of 1311212234112 is 2114322121131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 58402473 + ... + 58424919.

It is an arithmetic number, because the mean of its divisors is an integer number (29687339700).

Almost surely, 2^{1311212234112} is an apocalyptic number.

1311212234112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311212234112 is an abundant number, since it is smaller than the sum of its proper divisors (2488767247488).

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

1311212234112 is a wasteful number, since it uses less digits than its factorization.

1311212234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36304 (or 36292 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1311212234112 its reverse (2114322121131), we get a palindrome (3425534355243).

The spelling of 1311212234112 in words is "one trillion, three hundred eleven billion, two hundred twelve million, two hundred thirty-four thousand, one hundred twelve".