12161909760 has 1056 divisors, whose sum is σ = 53631268992. Its totient is φ = 2312110080.

The previous prime is 12161909759. The next prime is 12161909777. The reversal of 12161909760 is 6790916121.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107627464 + ... + 107627576.

Almost surely, 2^12161909760 is an apocalyptic number.

12161909760 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 12161909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26815634496).

12161909760 is an abundant number, since it is smaller than the sum of its proper divisors (41469359232).

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

12161909760 is a wasteful number, since it uses less digits than its factorization.

12161909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 12161909760 in words is "twelve billion, one hundred sixty-one million, nine hundred nine thousand, seven hundred sixty".