12005148672 has 672 divisors, whose sum is σ = 42538335840. Its totient is φ = 3344302080.

The previous prime is 12005148601. The next prime is 12005148719. The reversal of 12005148672 is 27684150021.

12005148672 is a `hidden beast` number, since 120 + 0 + 51 + 486 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 279189483 + ... + 279189525.

It is an arithmetic number, because the mean of its divisors is an integer number (63301095).

Almost surely, 2^12005148672 is an apocalyptic number.

12005148672 is a gapful number since it is divisible by the number (12) 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 12005148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21269167920).

12005148672 is an abundant number, since it is smaller than the sum of its proper divisors (30533187168).

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

12005148672 is an equidigital number, since it uses as much as digits as its factorization.

12005148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 12005148672 its reverse (27684150021), we get a palindrome (39689298693).

The spelling of 12005148672 in words is "twelve billion, five million, one hundred forty-eight thousand, six hundred seventy-two".