12601082880 has 264 divisors, whose sum is σ = 43975848384. Its totient is φ = 3336192000.

The previous prime is 12601082867. The next prime is 12601082881. The reversal of 12601082880 is 8828010621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12601082881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6957175 + ... + 6958985.

Almost surely, 2^12601082880 is an apocalyptic number.

12601082880 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 12601082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987924192).

12601082880 is an abundant number, since it is smaller than the sum of its proper divisors (31374765504).

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

12601082880 is a wasteful number, since it uses less digits than its factorization.

12601082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12601082880 in words is "twelve billion, six hundred one million, eighty-two thousand, eight hundred eighty".