222120401020 has 96 divisors (see below), whose sum is σ = 557819136000. Its totient is φ = 72641167104.

The previous prime is 222120400973. The next prime is 222120401021. The reversal of 222120401020 is 20104021222.

222120401020 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 = 222120400985 and 222120401003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120401021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059906 + ... + 1252054.

It is an arithmetic number, because the mean of its divisors is an integer number (5810616000).

Almost surely, 2^222120401020 is an apocalyptic number.

222120401020 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 222120401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278909568000).

222120401020 is an abundant number, since it is smaller than the sum of its proper divisors (335698734980).

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

222120401020 is a wasteful number, since it uses less digits than its factorization.

222120401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192547 (or 192545 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222120401020 its reverse (20104021222), we get a palindrome (242224422242).

The spelling of 222120401020 in words is "two hundred twenty-two billion, one hundred twenty million, four hundred one thousand, twenty".