1307508314112 has 2080 divisors, whose sum is σ = 5456089841664. Its totient is φ = 300987187200.

The previous prime is 1307508314111. The next prime is 1307508314213. The reversal of 1307508314112 is 2114138057031.

1307508314112 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 508 + 3 + 141 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1307508314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10295340993 + ... + 10295341119.

Almost surely, 2^{1307508314112} is an apocalyptic number.

1307508314112 is a gapful number since it is divisible by the number (12) 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 1307508314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728044920832).

1307508314112 is an abundant number, since it is smaller than the sum of its proper divisors (4148581527552).

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

1307508314112 is a wasteful number, since it uses less digits than its factorization.

1307508314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1307508314112 in words is "one trillion, three hundred seven billion, five hundred eight million, three hundred fourteen thousand, one hundred twelve".