12601012720 has 80 divisors (see below), whose sum is σ = 30339308160. Its totient is φ = 4861509632.

The previous prime is 12601012709. The next prime is 12601012751. The reversal of 12601012720 is 2721010621.

It is a happy number.

12601012720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12601012691 and 12601012700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821209 + ... + 2825671.

It is an arithmetic number, because the mean of its divisors is an integer number (379241352).

Almost surely, 2^12601012720 is an apocalyptic number.

12601012720 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 12601012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169654080).

12601012720 is an abundant number, since it is smaller than the sum of its proper divisors (17738295440).

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

12601012720 is a wasteful number, since it uses less digits than its factorization.

12601012720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 12601012720 in words is "twelve billion, six hundred one million, twelve thousand, seven hundred twenty".