222212101012020 has 288 divisors, whose sum is σ = 804447557827200. Its totient is φ = 50775460581888.

The previous prime is 222212101011983. The next prime is 222212101012043. The reversal of 222212101012020 is 20210101212222.

It is a happy number.

222212101012020 is a `hidden beast` number, since 22 + 221 + 210 + 10 + 1 + 202 + 0 = 666.

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 = 222212101011984 and 222212101012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83440416 + ... + 86062344.

It is an arithmetic number, because the mean of its divisors is an integer number (2793220686900).

Almost surely, 2^{222212101012020} is an apocalyptic number.

222212101012020 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 222212101012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402223778913600).

222212101012020 is an abundant number, since it is smaller than the sum of its proper divisors (582235456815180).

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

222212101012020 is a wasteful number, since it uses less digits than its factorization.

222212101012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625164 (or 2625149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222212101012020 its reverse (20210101212222), we get a palindrome (242422202224242).

The spelling of 222212101012020 in words is "two hundred twenty-two trillion, two hundred twelve billion, one hundred one million, twelve thousand, twenty".