12121012221120 has 672 divisors, whose sum is σ = 47344554129600. Its totient is φ = 2916944363520.

The previous prime is 12121012221107. The next prime is 12121012221121. The reversal of 12121012221120 is 2112221012121.

12121012221120 is a `hidden beast` number, since 121 + 210 + 1 + 222 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121012221093 and 12121012221102.

It is not an unprimeable number, because it can be changed into a prime (12121012221121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143182966 + ... + 143267594.

It is an arithmetic number, because the mean of its divisors is an integer number (70453205550).

Almost surely, 2^{12121012221120} is an apocalyptic number.

12121012221120 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 12121012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23672277064800).

12121012221120 is an abundant number, since it is smaller than the sum of its proper divisors (35223541908480).

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

12121012221120 is a wasteful number, since it uses less digits than its factorization.

12121012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84814 (or 84787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12121012221120 its reverse (2112221012121), we get a palindrome (14233233233241).

The spelling of 12121012221120 in words is "twelve trillion, one hundred twenty-one billion, twelve million, two hundred twenty-one thousand, one hundred twenty".