12180881571840 has 1024 divisors, whose sum is σ = 44278591680000. Its totient is φ = 3176556134400.

The previous prime is 12180881571827. The next prime is 12180881571857. The reversal of 12180881571840 is 4817518808121.

12180881571840 is a `hidden beast` number, since 1 + 21 + 8 + 0 + 8 + 8 + 1 + 571 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61210460061 + ... + 61210460259.

Almost surely, 2^{12180881571840} is an apocalyptic number.

12180881571840 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 12180881571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22139295840000).

12180881571840 is an abundant number, since it is smaller than the sum of its proper divisors (32097710108160).

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

12180881571840 is a wasteful number, since it uses less digits than its factorization.

12180881571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 54.

The spelling of 12180881571840 in words is "twelve trillion, one hundred eighty billion, eight hundred eighty-one million, five hundred seventy-one thousand, eight hundred forty".