12121221112000 has 896 divisors, whose sum is σ = 40375549992960. Its totient is φ = 3481251840000.

The previous prime is 12121221111971. The next prime is 12121221112031. The reversal of 12121221112000 is 21112212121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 127 ways as a sum of consecutive naturals, for example, 6478471065 + ... + 6478472935.

It is an arithmetic number, because the mean of its divisors is an integer number (45061997760).

Almost surely, 2^{12121221112000} is an apocalyptic number.

12121221112000 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 12121221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187774996480).

12121221112000 is an abundant number, since it is smaller than the sum of its proper divisors (28254328880960).

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

12121221112000 is a wasteful number, since it uses less digits than its factorization.

12121221112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2718 counting only the distinct ones).

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

Adding to 12121221112000 its reverse (21112212121), we get a palindrome (12142333324121).

It can be divided in two parts, 12121221 and 112000, that added together give a palindrome (12233221).

The spelling of 12121221112000 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand".