12121225684848 has 480 divisors, whose sum is σ = 40820074848000. Its totient is φ = 3433579559424.

The previous prime is 12121225684829. The next prime is 12121225684861. The reversal of 12121225684848 is 84848652212121.

12121225684848 is a `hidden beast` number, since 1 + 2 + 12 + 1 + 22 + 568 + 4 + 8 + 48 = 666.

It is a super-2 number, since 2×12121225684848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12121225684794 and 12121225684803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1851413511 + ... + 1851420057.

It is an arithmetic number, because the mean of its divisors is an integer number (85041822600).

Almost surely, 2^{12121225684848} is an apocalyptic number.

12121225684848 is a gapful number since it is divisible by the number (18) 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 12121225684848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410037424000).

12121225684848 is an abundant number, since it is smaller than the sum of its proper divisors (28698849163152).

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

12121225684848 is a wasteful number, since it uses less digits than its factorization.

12121225684848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7295 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

Adding to 12121225684848 its reverse (84848652212121), we get a palindrome (96969877896969).

The spelling of 12121225684848 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-five million, six hundred eighty-four thousand, eight hundred forty-eight".