12005481600 has 1152 divisors, whose sum is σ = 53983687680. Its totient is φ = 2477260800.

The previous prime is 12005481589. The next prime is 12005481623. The reversal of 12005481600 is 618450021.

12005481600 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 54 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106243144 + ... + 106243256.

It is an arithmetic number, because the mean of its divisors is an integer number (46860840).

Almost surely, 2^12005481600 is an apocalyptic number.

12005481600 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 12005481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26991843840).

12005481600 is an abundant number, since it is smaller than the sum of its proper divisors (41978206080).

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

12005481600 is a wasteful number, since it uses less digits than its factorization.

12005481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12005481600 in words is "twelve billion, five million, four hundred eighty-one thousand, six hundred".