220231212120 has 128 divisors (see below), whose sum is σ = 735292224000. Its totient is φ = 58633269120.

The previous prime is 220231212109. The next prime is 220231212133. The reversal of 220231212120 is 21212132022.

220231212120 is a `hidden beast` number, since 220 + 2 + 312 + 12 + 120 = 666.

220231212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220231212093 and 220231212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503805 + ... + 833235.

It is an arithmetic number, because the mean of its divisors is an integer number (5744470500).

Almost surely, 2^220231212120 is an apocalyptic number.

220231212120 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 220231212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367646112000).

220231212120 is an abundant number, since it is smaller than the sum of its proper divisors (515061011880).

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

220231212120 is a wasteful number, since it uses less digits than its factorization.

220231212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330070 (or 330060 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220231212120 its reverse (21212132022), we get a palindrome (241443344142).

The spelling of 220231212120 in words is "two hundred twenty billion, two hundred thirty-one million, two hundred twelve thousand, one hundred twenty".