220121103120000 has 320 divisors, whose sum is σ = 730712670346560. Its totient is φ = 58692879360000.

The previous prime is 220121103119921. The next prime is 220121103120013. The reversal of 220121103120000 is 21301121022.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2616677940 + ... + 2616762060.

It is an arithmetic number, because the mean of its divisors is an integer number (2283477094833).

Almost surely, 2^{220121103120000} is an apocalyptic number.

220121103120000 is a gapful number since it is divisible by the number (20) 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 220121103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365356335173280).

220121103120000 is an abundant number, since it is smaller than the sum of its proper divisors (510591567226560).

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

220121103120000 is an equidigital number, since it uses as much as digits as its factorization.

220121103120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95061 (or 95034 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220121103120000 its reverse (21301121022), we get a palindrome (220142404241022).

The spelling of 220121103120000 in words is "two hundred twenty trillion, one hundred twenty-one billion, one hundred three million, one hundred twenty thousand".