12102121221120 has 1056 divisors, whose sum is σ = 51677829665280. Its totient is φ = 2556639313920.

The previous prime is 12102121221083. The next prime is 12102121221131. The reversal of 12102121221120 is 2112212120121.

12102121221120 is a `hidden beast` number, since 1 + 210 + 212 + 1 + 221 + 1 + 20 = 666.

It is a super-2 number, since 2×12102121221120² (a number of 27 digits) contains 22 as substring.

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 = 12102121221093 and 12102121221102.

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, 251250159 + ... + 251298321.

Almost surely, 2^{12102121221120} is an apocalyptic number.

12102121221120 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 12102121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838914832640).

12102121221120 is an abundant number, since it is smaller than the sum of its proper divisors (39575708444160).

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

12102121221120 is a wasteful number, since it uses less digits than its factorization.

12102121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48261 (or 48240 counting only the distinct ones).

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

Adding to 12102121221120 its reverse (2112212120121), we get a palindrome (14214333341241).

The spelling of 12102121221120 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".