12941177760 has 192 divisors, whose sum is σ = 51764832000. Its totient is φ = 2957976576.

The previous prime is 12941177719. The next prime is 12941177797. The reversal of 12941177760 is 6777114921.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183735 + ... + 244214.

It is an arithmetic number, because the mean of its divisors is an integer number (269608500).

Almost surely, 2^12941177760 is an apocalyptic number.

12941177760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12941177760 is an abundant number, since it is smaller than the sum of its proper divisors (38823654240).

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

12941177760 is a wasteful number, since it uses less digits than its factorization.

12941177760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427980 (or 427966 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

It can be divided in two parts, 129 and 41177760, that added together give a square (41177889 = 6417²).

The spelling of 12941177760 in words is "twelve billion, nine hundred forty-one million, one hundred seventy-seven thousand, seven hundred sixty".