12111384821760 has 2880 divisors, whose sum is σ = 54034005602304. Its totient is φ = 2446118092800.

The previous prime is 12111384821741. The next prime is 12111384821761. The reversal of 12111384821760 is 6712848311121.

12111384821760 is a `hidden beast` number, since 1 + 21 + 1 + 1 + 384 + 82 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (12111384821761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165909381084 + ... + 165909381156.

Almost surely, 2^{12111384821760} is an apocalyptic number.

12111384821760 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 12111384821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27017002801152).

12111384821760 is an abundant number, since it is smaller than the sum of its proper divisors (41922620780544).

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

12111384821760 is a wasteful number, since it uses less digits than its factorization.

12111384821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12111384821760 in words is "twelve trillion, one hundred eleven billion, three hundred eighty-four million, eight hundred twenty-one thousand, seven hundred sixty".