12084810712380 has 960 divisors, whose sum is σ = 46019178196992. Its totient is φ = 2597201418240.

The previous prime is 12084810712361. The next prime is 12084810712439. The reversal of 12084810712380 is 8321701848021.

12084810712380 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 481 + 0 + 71 + 23 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1489924525 + ... + 1489932635.

Almost surely, 2^{12084810712380} is an apocalyptic number.

12084810712380 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 12084810712380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23009589098496).

12084810712380 is an abundant number, since it is smaller than the sum of its proper divisors (33934367484612).

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

12084810712380 is a wasteful number, since it uses less digits than its factorization.

12084810712380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12084810712380 in words is "twelve trillion, eighty-four billion, eight hundred ten million, seven hundred twelve thousand, three hundred eighty".