220121302120 has 128 divisors (see below), whose sum is σ = 509588029440. Its totient is φ = 85534122240.

The previous prime is 220121302111. The next prime is 220121302153. The reversal of 220121302120 is 21203121022.

It is a happy number.

220121302120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220121302094 and 220121302103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255064809 + ... + 255065671.

It is an arithmetic number, because the mean of its divisors is an integer number (3981156480).

Almost surely, 2^220121302120 is an apocalyptic number.

220121302120 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 220121302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254794014720).

220121302120 is an abundant number, since it is smaller than the sum of its proper divisors (289466727320).

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

220121302120 is a wasteful number, since it uses less digits than its factorization.

220121302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220121302120 its reverse (21203121022), we get a palindrome (241324423142).

The spelling of 220121302120 in words is "two hundred twenty billion, one hundred twenty-one million, three hundred two thousand, one hundred twenty".