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222120211201020 = 2232511112181924849
BaseRepresentation
bin110010100000010001100100…
…010010010011101111111100
31002010110111002102112011000200
4302200101210102103233330
5213103204143031413040
62104224341043523500
764533440620235346
oct6240214422235774
91063414072464020
10222120211201020
116485771a619790
1220ab4475389590
1396c2acc99aa52
143cbc965b34296
151aa2cca6c6630
hexca0464493bfc

222120211201020 has 72 divisors (see below), whose sum is σ = 735015971617200. Its totient is φ = 53847323927040.

The previous prime is 222120211201013. The next prime is 222120211201039. The reversal of 222120211201020 is 20102112021222.

It is a happy number.

222120211201020 is a `hidden beast` number, since 22 + 212 + 0 + 211 + 201 + 0 + 20 = 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 = 222120211200984 and 222120211201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56090960445 + ... + 56090964404.

It is an arithmetic number, because the mean of its divisors is an integer number (10208555161350).

Almost surely, 2222120211201020 is an apocalyptic number.

222120211201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120211201020 is an abundant number, since it is smaller than the sum of its proper divisors (512895760416180).

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

222120211201020 is a wasteful number, since it uses less digits than its factorization.

222120211201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112181924875 (or 112181924870 counting only the distinct ones).

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

Adding to 222120211201020 its reverse (20102112021222), we get a palindrome (242222323222242).

The spelling of 222120211201020 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred eleven million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 112181924849 224363849698 336545774547 448727699396 560909624245 673091549094 1009637323641 1121819248490 1234001173339 1346183098188 1682728872735 2019274647282 2243638496980 2468002346678 3365457745470 3702003520017 4038549294564 4936004693356 5048186618205 6170005866695 6730915490940 7404007040034 10096373236410 11106010560051 12340011733390 14808014080068 18510017600085 20192746472820 22212021120102 24680023466780 37020035200170 44424042240204 55530052800255 74040070400340 111060105600510 222120211201020