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20122020111200 = 2552721611662757
BaseRepresentation
bin1001001001101000001011…
…10111000110001101100000
32122020122110011211101202112
410210310011313012031200
510114134344122024300
6110443532312334452
74144524262610210
oct444640567061540
978218404741675
1020122020111200
116458778855647
12230b9479a4428
13b2c662b67377
144d7ca79b6240
1524d647372e35
hex124d05dc6360

20122020111200 has 144 divisors (see below), whose sum is σ = 56166448804704. Its totient is φ = 6895781683200.

The previous prime is 20122020111131. The next prime is 20122020111203. The reversal of 20122020111200 is 211102022102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122020111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11270222 + ... + 12932978.

It is an arithmetic number, because the mean of its divisors is an integer number (390044783366).

Almost surely, 220122020111200 is an apocalyptic number.

20122020111200 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 20122020111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28083224402352).

20122020111200 is an abundant number, since it is smaller than the sum of its proper divisors (36044428693504).

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

20122020111200 is a wasteful number, since it uses less digits than its factorization.

20122020111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664945 (or 1664932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20122020111200 its reverse (211102022102), we get a palindrome (20333122133302).

The spelling of 20122020111200 in words is "twenty trillion, one hundred twenty-two billion, twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2161 2800 4322 5600 8644 10805 15127 17288 21610 30254 34576 43220 54025 60508 69152 75635 86440 108050 121016 151270 172880 216100 242032 302540 345760 378175 432200 484064 605080 756350 864400 1210160 1512700 1662757 1728800 2420320 3025400 3325514 6050800 6651028 8313785 11639299 12101600 13302056 16627570 23278598 26604112 33255140 41568925 46557196 53208224 58196495 66510280 83137850 93114392 116392990 133020560 166275700 186228784 232785980 266041120 290982475 332551400 372457568 465571960 581964950 665102800 931143920 1163929900 1330205600 1862287840 2327859800 3593217877 4655719600 7186435754 9311439200 14372871508 17966089385 25152525139 28745743016 35932178770 50305050278 57491486032 71864357540 89830446925 100610100556 114982972064 125762625695 143728715080 179660893850 201220201112 251525251390 287457430160 359321787700 402440402224 503050502780 574914860320 628813128475 718643575400 804880804448 1006101005560 1257626256950 1437287150800 2012202011120 2515252513900 2874574301600 4024404022240 5030505027800 10061010055600 20122020111200