12601506019600 has 45 divisors (see below), whose sum is σ = 30275288783823. Its totient is φ = 5040574008960.

The previous prime is 12601506019589. The next prime is 12601506019631. The reversal of 12601506019600 is 691060510621.

The square root of 12601506019600 is 3549860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6776504461584 + 5825001558016 = 2603172^2 + 2413504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12601506019600.

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 8 ways as a sum of consecutive naturals, for example, 70908454 + ... + 71085946.

Almost surely, 2^{12601506019600} is an apocalyptic number.

12601506019600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12601506019600 is the 3549860-th square number.

It is an amenable number.

12601506019600 is an abundant number, since it is smaller than the sum of its proper divisors (17673782764223).

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

12601506019600 is an frugal number, since it uses more digits than its factorization.

12601506019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355004 (or 177500 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 12601506019600 in words is "twelve trillion, six hundred one billion, five hundred six million, nineteen thousand, six hundred".