12030134941440 has 1728 divisors, whose sum is σ = 56019864176640. Its totient is φ = 2308518051840.

The previous prime is 12030134941361. The next prime is 12030134941459. The reversal of 12030134941440 is 4414943103021.

12030134941440 is a `hidden beast` number, since 1 + 2 + 0 + 301 + 349 + 4 + 1 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12030134941395 and 12030134941404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591645514 + ... + 591665846.

It is an arithmetic number, because the mean of its divisors is an integer number (32418902880).

Almost surely, 2^{12030134941440} is an apocalyptic number.

12030134941440 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 12030134941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009932088320).

12030134941440 is an abundant number, since it is smaller than the sum of its proper divisors (43989729235200).

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

12030134941440 is a wasteful number, since it uses less digits than its factorization.

12030134941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20430 (or 20413 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12030134941440 in words is "twelve trillion, thirty billion, one hundred thirty-four million, nine hundred forty-one thousand, four hundred forty".