12611475262120 has 256 divisors, whose sum is σ = 33460667136000. Its totient is φ = 4187565195264.

The previous prime is 12611475262063. The next prime is 12611475262163. The reversal of 12611475262120 is 2126257411621.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4043433921 + ... + 4043437039.

It is an arithmetic number, because the mean of its divisors is an integer number (130705731000).

Almost surely, 2^{12611475262120} is an apocalyptic number.

12611475262120 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 12611475262120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730333568000).

12611475262120 is an abundant number, since it is smaller than the sum of its proper divisors (20849191873880).

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

12611475262120 is a wasteful number, since it uses less digits than its factorization.

12611475262120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 12611475262120 in words is "twelve trillion, six hundred eleven billion, four hundred seventy-five million, two hundred sixty-two thousand, one hundred twenty".