12707207349760 has 1440 divisors, whose sum is σ = 42394908989664. Its totient is φ = 3626957537280.

The previous prime is 12707207349721. The next prime is 12707207349799. The reversal of 12707207349760 is 6794370270721.

It is an interprime number because it is at equal distance from previous prime (12707207349721) and next prime (12707207349799).

It is a super-2 number, since 2×12707207349760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 343438036462 + ... + 343438036498.

Almost surely, 2^{12707207349760} is an apocalyptic number.

12707207349760 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 12707207349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197454494832).

12707207349760 is an abundant number, since it is smaller than the sum of its proper divisors (29687701639904).

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

12707207349760 is an frugal number, since it uses more digits than its factorization.

12707207349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 55.

The spelling of 12707207349760 in words is "twelve trillion, seven hundred seven billion, two hundred seven million, three hundred forty-nine thousand, seven hundred sixty".