220122121120 has 96 divisors (see below), whose sum is σ = 569473027200. Its totient is φ = 79739888640.

The previous prime is 220122121111. The next prime is 220122121123. The reversal of 220122121120 is 21121221022.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 220122121094 and 220122121103.

It is not an unprimeable number, because it can be changed into a prime (220122121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225106 + ... + 700654.

It is an arithmetic number, because the mean of its divisors is an integer number (5932010700).

Almost surely, 2^220122121120 is an apocalyptic number.

220122121120 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 220122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284736513600).

220122121120 is an abundant number, since it is smaller than the sum of its proper divisors (349350906080).

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

220122121120 is a wasteful number, since it uses less digits than its factorization.

220122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475838 (or 475830 counting only the distinct ones).

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

Adding to 220122121120 its reverse (21121221022), we get a palindrome (241243342142).

The spelling of 220122121120 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".