1307261229732 has 144 divisors (see below), whose sum is σ = 3507807139200. Its totient is φ = 409072425984.

The previous prime is 1307261229727. The next prime is 1307261229739. The reversal of 1307261229732 is 2379221627031.

1307261229732 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 2 + 612 + 29 + 7 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1307261229739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627584763 + ... + 627586845.

It is an arithmetic number, because the mean of its divisors is an integer number (24359771800).

Almost surely, 2^{1307261229732} is an apocalyptic number.

1307261229732 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 1307261229732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753903569600).

1307261229732 is an abundant number, since it is smaller than the sum of its proper divisors (2200545909468).

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

1307261229732 is a wasteful number, since it uses less digits than its factorization.

1307261229732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1307261229732 in words is "one trillion, three hundred seven billion, two hundred sixty-one million, two hundred twenty-nine thousand, seven hundred thirty-two".