1307121175344 has 160 divisors (see below), whose sum is σ = 3428270576640. Its totient is φ = 429110820864.

The previous prime is 1307121175337. The next prime is 1307121175363. The reversal of 1307121175344 is 4435711217031.

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 31 ways as a sum of consecutive naturals, for example, 877850952 + ... + 877852440.

It is an arithmetic number, because the mean of its divisors is an integer number (21426691104).

Almost surely, 2^{1307121175344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307121175344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714135288320).

1307121175344 is an abundant number, since it is smaller than the sum of its proper divisors (2121149401296).

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

1307121175344 is a wasteful number, since it uses less digits than its factorization.

1307121175344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 1307121175344 in words is "one trillion, three hundred seven billion, one hundred twenty-one million, one hundred seventy-five thousand, three hundred forty-four".