121221102000000 has 1792 divisors, whose sum is σ = 450579232512000. Its totient is φ = 28740096000000.

The previous prime is 121221101999983. The next prime is 121221102000049. The reversal of 121221102000000 is 201122121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 121221102000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 122321999505 + ... + 122322000495.

Almost surely, 2^{121221102000000} is an apocalyptic number.

121221102000000 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 121221102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225289616256000).

121221102000000 is an abundant number, since it is smaller than the sum of its proper divisors (329358130512000).

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

121221102000000 is an frugal number, since it uses more digits than its factorization.

121221102000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121221102000000 its reverse (201122121), we get a palindrome (121221303122121).

The spelling of 121221102000000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred two million", and thus it is an aban number.