12601207539180 has 768 divisors, whose sum is σ = 45748349337600. Its totient is φ = 2871071723520.

The previous prime is 12601207539133. The next prime is 12601207539197. The reversal of 12601207539180 is 8193570210621.

12601207539180 is a `hidden beast` number, since 1 + 2 + 60 + 120 + 7 + 5 + 391 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 845881492 + ... + 845896388.

It is an arithmetic number, because the mean of its divisors is an integer number (59568163200).

Almost surely, 2^{12601207539180} is an apocalyptic number.

12601207539180 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 12601207539180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22874174668800).

12601207539180 is an abundant number, since it is smaller than the sum of its proper divisors (33147141798420).

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

12601207539180 is a wasteful number, since it uses less digits than its factorization.

12601207539180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15008 (or 14974 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12601207539180 in words is "twelve trillion, six hundred one billion, two hundred seven million, five hundred thirty-nine thousand, one hundred eighty".