12605148000 has 288 divisors, whose sum is σ = 44911601280. Its totient is φ = 3348172800.

The previous prime is 12605147977. The next prime is 12605148007. The reversal of 12605148000 is 84150621.

12605148000 is a `hidden beast` number, since 12 + 60 + 514 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12605148000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12605148007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12131481 + ... + 12132519.

It is an arithmetic number, because the mean of its divisors is an integer number (155943060).

Almost surely, 2^12605148000 is an apocalyptic number.

12605148000 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 12605148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455800640).

12605148000 is an abundant number, since it is smaller than the sum of its proper divisors (32306453280).

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

12605148000 is a wasteful number, since it uses less digits than its factorization.

12605148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1386 counting only the distinct ones).

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

Adding to 12605148000 its reverse (84150621), we get a palindrome (12689298621).

The spelling of 12605148000 in words is "twelve billion, six hundred five million, one hundred forty-eight thousand".