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20220121200 = 2435226936257
BaseRepresentation
bin10010110101001101…
…101001000001110000
31221012011201120202210
4102311031221001300
5312402322334300
613142231212120
71314034123446
oct226515510160
957164646683
1020220121200
118636805374
123b03817040
131ba3188576
14d9b624b96
157d524c050
hex4b5369070

20220121200 has 120 divisors (see below), whose sum is σ = 64806195888. Its totient is φ = 5389168640.

The previous prime is 20220121193. The next prime is 20220121247. The reversal of 20220121200 is 212102202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3228472 + ... + 3234728.

Almost surely, 220220121200 is an apocalyptic number.

20220121200 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 20220121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32403097944).

20220121200 is an abundant number, since it is smaller than the sum of its proper divisors (44586074688).

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

20220121200 is a wasteful number, since it uses less digits than its factorization.

20220121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8971 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20220121200 its reverse (212102202), we get a palindrome (20432223402).

The spelling of 20220121200 in words is "twenty billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2693 5386 6257 8079 10772 12514 13465 16158 18771 21544 25028 26930 31285 32316 37542 40395 43088 50056 53860 62570 64632 67325 75084 80790 93855 100112 107720 125140 129264 134650 150168 156425 161580 187710 201975 215440 250280 269300 300336 312850 323160 375420 403950 469275 500560 538600 625700 646320 750840 807900 938550 1077200 1251400 1501680 1615800 1877100 2502800 3231600 3754200 7508400 16850101 33700202 50550303 67400404 84250505 101100606 134800808 168501010 202201212 252751515 269601616 337002020 404402424 421252525 505503030 674004040 808804848 842505050 1011006060 1263757575 1348008080 1685010100 2022012120 2527515150 3370020200 4044024240 5055030300 6740040400 10110060600 20220121200