12083660160 has 384 divisors, whose sum is σ = 45604550880. Its totient is φ = 2703360000.

The previous prime is 12083660153. The next prime is 12083660177. The reversal of 12083660160 is 6106638021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3018160 + ... + 3022160.

Almost surely, 2^12083660160 is an apocalyptic number.

12083660160 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 12083660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22802275440).

12083660160 is an abundant number, since it is smaller than the sum of its proper divisors (33520890720).

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

12083660160 is a wasteful number, since it uses less digits than its factorization.

12083660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 12083660160 in words is "twelve billion, eighty-three million, six hundred sixty thousand, one hundred sixty".