12148012800 has 1296 divisors, whose sum is σ = 56632208640. Its totient is φ = 2493849600.

The previous prime is 12148012783. The next prime is 12148012837. The reversal of 12148012800 is 821084121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 146361559 + ... + 146361641.

Almost surely, 2^12148012800 is an apocalyptic number.

12148012800 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 12148012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28316104320).

12148012800 is an abundant number, since it is smaller than the sum of its proper divisors (44484195840).

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

12148012800 is a wasteful number, since it uses less digits than its factorization.

12148012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 12148012800 its reverse (821084121), we get a palindrome (12969096921).

The spelling of 12148012800 in words is "twelve billion, one hundred forty-eight million, twelve thousand, eight hundred".