121221221020000 has 240 divisors, whose sum is σ = 315818335657440. Its totient is φ = 45628498944000.

The previous prime is 121221221019953. The next prime is 121221221020001. The reversal of 121221221020000 is 20122122121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221221020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2256553141 + ... + 2256606859.

It is an arithmetic number, because the mean of its divisors is an integer number (1315909731906).

Almost surely, 2^{121221221020000} is an apocalyptic number.

121221221020000 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 121221221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157909167828720).

121221221020000 is an abundant number, since it is smaller than the sum of its proper divisors (194597114637440).

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

121221221020000 is an equidigital number, since it uses as much as digits as its factorization.

121221221020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60403 (or 60380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121221221020000 its reverse (20122122121), we get a palindrome (121241343142121).

The spelling of 121221221020000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand".