222001122202020 has 1152 divisors, whose sum is σ = 866346388992000. Its totient is φ = 46911831644160.

The previous prime is 222001122201941. The next prime is 222001122202103. The reversal of 222001122202020 is 20202221100222.

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 = 222001122201984 and 222001122202002.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4063620105 + ... + 4063674735.

It is an arithmetic number, because the mean of its divisors is an integer number (752036796000).

Almost surely, 2^{222001122202020} is an apocalyptic number.

222001122202020 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 222001122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433173194496000).

222001122202020 is an abundant number, since it is smaller than the sum of its proper divisors (644345266789980).

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

222001122202020 is a wasteful number, since it uses less digits than its factorization.

222001122202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54878 (or 54863 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222001122202020 its reverse (20202221100222), we get a palindrome (242203343302242).

The spelling of 222001122202020 in words is "two hundred twenty-two trillion, one billion, one hundred twenty-two million, two hundred two thousand, twenty".