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212221022120 = 235192934727749
BaseRepresentation
bin1100010110100101011…
…0111100111110101000
3202021210001021221012022
43011221112330332220
511434112040201440
6241254253004012
721222014632052
oct3055126747650
9667701257168
10212221022120
1182003263a88
1235168483608
13170211bb703
14a3b31d48d2
1557c1302cb5
hex31695bcfa8

212221022120 has 128 divisors (see below), whose sum is σ = 521478000000. Its totient is φ = 77420915712.

The previous prime is 212221022099. The next prime is 212221022161. The reversal of 212221022120 is 21220122212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7634006 + ... + 7661754.

It is an arithmetic number, because the mean of its divisors is an integer number (4074046875).

Almost surely, 2212221022120 is an apocalyptic number.

212221022120 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 212221022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260739000000).

212221022120 is an abundant number, since it is smaller than the sum of its proper divisors (309256977880).

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

212221022120 is a wasteful number, since it uses less digits than its factorization.

212221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28155 (or 28151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212221022120 its reverse (21220122212), we get a palindrome (233441144332).

The spelling of 212221022120 in words is "two hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 347 380 551 580 694 760 1102 1160 1388 1735 2204 2755 2776 3470 4408 5510 6593 6940 10063 11020 13186 13880 20126 22040 26372 27749 32965 40252 50315 52744 55498 65930 80504 100630 110996 131860 138745 191197 201260 221992 263720 277490 382394 402520 527231 554980 764788 804721 955985 1054462 1109960 1529576 1609442 1911970 2108924 2636155 3218884 3823940 4023605 4217848 5272310 6437768 7647880 8047210 9628903 10544620 15289699 16094420 19257806 21089240 30579398 32188840 38515612 48144515 61158796 76448495 77031224 96289030 122317592 152896990 182949157 192578060 279238187 305793980 365898314 385156120 558476374 611587960 731796628 914745785 1116952748 1396190935 1463593256 1829491570 2233905496 2792381870 3658983140 5305525553 5584763740 7317966280 10611051106 11169527480 21222102212 26527627765 42444204424 53055255530 106110511060 212221022120