1312224144120 has 192 divisors, whose sum is σ = 4337246571840. Its totient is φ = 344024064000.

The previous prime is 1312224144113. The next prime is 1312224144137. The reversal of 1312224144120 is 214414222131.

1312224144120 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 241 + 4 + 412 + 0 = 666.

It is a super-2 number, since 2×1312224144120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5148490 + ... + 5397350.

It is an arithmetic number, because the mean of its divisors is an integer number (22589825895).

Almost surely, 2^{1312224144120} is an apocalyptic number.

1312224144120 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 1312224144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168623285920).

1312224144120 is an abundant number, since it is smaller than the sum of its proper divisors (3025022427720).

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

1312224144120 is a wasteful number, since it uses less digits than its factorization.

1312224144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249126 (or 249119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1312224144120 its reverse (214414222131), we get a palindrome (1526638366251).

The spelling of 1312224144120 in words is "one trillion, three hundred twelve billion, two hundred twenty-four million, one hundred forty-four thousand, one hundred twenty".