12121021112200 has 864 divisors, whose sum is σ = 39466055260800. Its totient is φ = 3428001561600.

The previous prime is 12121021112159. The next prime is 12121021112287. The reversal of 12121021112200 is 221112012121.

It is a super-3 number, since 3×12121021112200³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 909501937 + ... + 909515263.

It is an arithmetic number, because the mean of its divisors is an integer number (45678304700).

Almost surely, 2^{12121021112200} is an apocalyptic number.

12121021112200 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 12121021112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733027630400).

12121021112200 is an abundant number, since it is smaller than the sum of its proper divisors (27345034148600).

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

12121021112200 is a wasteful number, since it uses less digits than its factorization.

12121021112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13451 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12121021112200 its reverse (221112012121), we get a palindrome (12342133124321).

It can be divided in two parts, 12121021 and 112200, that added together give a palindrome (12233221).

The spelling of 12121021112200 in words is "twelve trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, two hundred".