1312429547520 has 2688 divisors, whose sum is σ = 6174938810880. Its totient is φ = 264868724736.

The previous prime is 1312429547501. The next prime is 1312429547531. The reversal of 1312429547520 is 257459242131.

1312429547520 is a `hidden beast` number, since 1 + 3 + 12 + 42 + 9 + 547 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57062154229 + ... + 57062154251.

It is an arithmetic number, because the mean of its divisors is an integer number (2297224260).

Almost surely, 2^{1312429547520} is an apocalyptic number.

1312429547520 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 1312429547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087469405440).

1312429547520 is an abundant number, since it is smaller than the sum of its proper divisors (4862509263360).

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

1312429547520 is an frugal number, since it uses more digits than its factorization.

1312429547520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1312429547520 in words is "one trillion, three hundred twelve billion, four hundred twenty-nine million, five hundred forty-seven thousand, five hundred twenty".