1312414305120 has 144 divisors (see below), whose sum is σ = 4482880273872. Its totient is φ = 349643750400.

The previous prime is 1312414305119. The next prime is 1312414305161. The reversal of 1312414305120 is 215034142131.

1312414305120 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 143 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1312414305120² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1079854 + ... + 1947026.

It is an arithmetic number, because the mean of its divisors is an integer number (31131113013).

Almost surely, 2^{1312414305120} is an apocalyptic number.

1312414305120 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 1312414305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241440136936).

1312414305120 is an abundant number, since it is smaller than the sum of its proper divisors (3170465968752).

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

1312414305120 is a wasteful number, since it uses less digits than its factorization.

1312414305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868245 (or 868234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1312414305120 its reverse (215034142131), we get a palindrome (1527448447251).

The spelling of 1312414305120 in words is "one trillion, three hundred twelve billion, four hundred fourteen million, three hundred five thousand, one hundred twenty".