12212121102000 has 160 divisors (see below), whose sum is σ = 39383805227520. Its totient is φ = 3255579129600.

The previous prime is 12212121101933. The next prime is 12212121102001. The reversal of 12212121102000 is 20112121221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12212121102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19607379 + ... + 20220621.

It is an arithmetic number, because the mean of its divisors is an integer number (246148782672).

Almost surely, 2^{12212121102000} is an apocalyptic number.

12212121102000 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 12212121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691902613760).

12212121102000 is an abundant number, since it is smaller than the sum of its proper divisors (27171684125520).

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

12212121102000 is a wasteful number, since it uses less digits than its factorization.

12212121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616588 (or 616572 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212121102000 its reverse (20112121221), we get a palindrome (12232233223221).

The spelling of 12212121102000 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-one million, one hundred two thousand".