12005064611400 has 288 divisors, whose sum is σ = 43303642541280. Its totient is φ = 2743259904000.

The previous prime is 12005064611399. The next prime is 12005064611447. The reversal of 12005064611400 is 411646050021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110519115 + ... + 110627685.

It is an arithmetic number, because the mean of its divisors is an integer number (150359869935).

Almost surely, 2^{12005064611400} is an apocalyptic number.

12005064611400 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 12005064611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651821270640).

12005064611400 is an abundant number, since it is smaller than the sum of its proper divisors (31298577929880).

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

12005064611400 is a wasteful number, since it uses less digits than its factorization.

12005064611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112365 (or 112349 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12005064611400 in words is "twelve trillion, five billion, sixty-four million, six hundred eleven thousand, four hundred".