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21222022120 = 23513712332467
BaseRepresentation
bin10011110000111011…
…100101101111101000
32000202222222102110021
4103300323211233220
5321430314201440
613425501330224
71350621132415
oct236073455750
960688872407
1021222022120
119000307362
124143266974
13200290ca50
14105470910c
158431a684a
hex4f0ee5be8

21222022120 has 128 divisors (see below), whose sum is σ = 52391888640. Its totient is φ = 7689185280.

The previous prime is 21222022093. The next prime is 21222022123. The reversal of 21222022120 is 2122022212.

It is a junction number, because it is equal to n+sod(n) for n = 21222022094 and 21222022103.

It is not an unprimeable number, because it can be changed into a prime (21222022123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8601127 + ... + 8603593.

It is an arithmetic number, because the mean of its divisors is an integer number (409311630).

Almost surely, 221222022120 is an apocalyptic number.

21222022120 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 21222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26195944320).

21222022120 is an abundant number, since it is smaller than the sum of its proper divisors (31169866520).

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

21222022120 is a wasteful number, since it uses less digits than its factorization.

21222022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21222022120 its reverse (2122022212), we get a palindrome (23344044332).

The spelling of 21222022120 in words is "twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 233 260 284 355 466 520 568 710 923 932 1165 1420 1846 1864 2330 2467 2840 3029 3692 4615 4660 4934 6058 7384 9230 9320 9868 12116 12335 15145 16543 18460 19736 24232 24670 30290 32071 33086 36920 49340 60580 64142 66172 82715 98680 121160 128284 132344 160355 165430 175157 215059 256568 320710 330860 350314 430118 574811 641420 661720 700628 860236 875785 1075295 1149622 1282840 1401256 1720472 1751570 2150590 2277041 2299244 2874055 3503140 4301180 4554082 4598488 5748110 7006280 7472543 8602360 9108164 11385205 11496220 14945086 18216328 22770410 22992440 29890172 37362715 40811581 45540820 59780344 74725430 81623162 91081640 149450860 163246324 204057905 298901720 326492648 408115810 530550553 816231620 1061101106 1632463240 2122202212 2652752765 4244404424 5305505530 10611011060 21222022120