12121424000 has 192 divisors, whose sum is σ = 35059466520. Its totient is φ = 4155648000.

The previous prime is 12121423991. The next prime is 12121424027. The reversal of 12121424000 is 42412121.

It can be written as a sum of positive squares in 4 ways, for example, as 1972070464 + 10149353536 = 44408^2 + 100744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12121424000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776270 + ... + 791730.

Almost surely, 2^12121424000 is an apocalyptic number.

12121424000 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 12121424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529733260).

12121424000 is an abundant number, since it is smaller than the sum of its proper divisors (22938042520).

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

12121424000 is an equidigital number, since it uses as much as digits as its factorization.

12121424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12121424000 its reverse (42412121), we get a palindrome (12163836121).

The spelling of 12121424000 in words is "twelve billion, one hundred twenty-one million, four hundred twenty-four thousand".