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222021121210020 = 2234511292271892617
BaseRepresentation
bin110010011110110101010010…
…000011111111011010100100
31002010010000022200020001110000
4302132311102003333122210
5213100043224012210040
62104111032305301300
764523332233223326
oct6236652203773244
91063100280201400
10222021121210020
11648196a0931940
1220a99220334830
1396b666a87a692
143cb7c458b7616
151aa042b2e4130
hexc9ed520ff6a4

222021121210020 has 480 divisors, whose sum is σ = 789468806206080. Its totient is φ = 51738367887360.

The previous prime is 222021121210001. The next prime is 222021121210067. The reversal of 222021121210020 is 20012121120222.

It is a happy number.

222021121210020 is a `hidden beast` number, since 2 + 220 + 211 + 2 + 1 + 210 + 0 + 20 = 666.

It is a super-3 number, since 3×2220211212100203 (a number of 44 digits) contains 333 as substring.

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 = 222021121209975 and 222021121210002.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116362752 + ... + 118255368.

It is an arithmetic number, because the mean of its divisors is an integer number (1644726679596).

Almost surely, 2222021121210020 is an apocalyptic number.

222021121210020 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 222021121210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394734403103040).

222021121210020 is an abundant number, since it is smaller than the sum of its proper divisors (567447684996060).

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

222021121210020 is a wasteful number, since it uses less digits than its factorization.

222021121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892905 (or 1892894 counting only the distinct ones).

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

Adding to 222021121210020 its reverse (20012121120222), we get a palindrome (242033242330242).

The spelling of 222021121210020 in words is "two hundred twenty-two trillion, twenty-one billion, one hundred twenty-one million, two hundred ten thousand, twenty".