220021121120 has 96 divisors (see below), whose sum is σ = 541583594496. Its totient is φ = 84373286400.

The previous prime is 220021121107. The next prime is 220021121167. The reversal of 220021121120 is 21121120022.

It is a junction number, because it is equal to n+sod(n) for n = 220021121095 and 220021121104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323435 + ... + 738005.

It is an arithmetic number, because the mean of its divisors is an integer number (5641495776).

Almost surely, 2^220021121120 is an apocalyptic number.

220021121120 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 220021121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270791797248).

220021121120 is an abundant number, since it is smaller than the sum of its proper divisors (321562473376).

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

220021121120 is a wasteful number, since it uses less digits than its factorization.

220021121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414724 (or 414716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220021121120 its reverse (21121120022), we get a palindrome (241142241142).

The spelling of 220021121120 in words is "two hundred twenty billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty".