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22000122020000 = 255410957100393
BaseRepresentation
bin1010000000010010011010…
…11101010100000010100000
32212220012011022220121121002
411000021031131110002200
510340422222214120000
6114442414434251132
74430312350463255
oct500111535240240
985805138817532
1022000122020000
11701222137a2a3
122573930426aa8
13c377aabcb597
14560b50dd142c
152824189178d5
hex14024d7540a0

22000122020000 has 120 divisors (see below), whose sum is σ = 54129078990756. Its totient is φ = 8799158016000.

The previous prime is 22000122019969. The next prime is 22000122020003. The reversal of 22000122020000 is 2022100022.

It can be written as a sum of positive squares in 10 ways, for example, as 1122862361104 + 20877259658896 = 1059652^2 + 4569164^2 .

It is not an unprimeable number, because it can be changed into a prime (22000122020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219089804 + ... + 219190196.

Almost surely, 222000122020000 is an apocalyptic number.

22000122020000 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 22000122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27064539495378).

22000122020000 is an abundant number, since it is smaller than the sum of its proper divisors (32128956970756).

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

22000122020000 is a wasteful number, since it uses less digits than its factorization.

22000122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111380 (or 111357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22000122020000 its reverse (2022100022), we get a palindrome (22002144120022).

The spelling of 22000122020000 in words is "twenty-two trillion, one hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 10957 20000 21914 43828 54785 87656 100393 109570 175312 200786 219140 273925 350624 401572 438280 501965 547850 803144 876560 1003930 1095700 1369625 1606288 1753120 2007860 2191400 2509825 2739250 3212576 4015720 4382800 5019650 5478500 6848125 8031440 8765600 10039300 10957000 12549125 13696250 16062880 20078600 21914000 25098250 27392500 40157200 43828000 50196500 54785000 62745625 80314400 100393000 109570000 125491250 200786000 219140000 250982500 401572000 501965000 1003930000 1100006101 2007860000 2200012202 4400024404 5500030505 8800048808 11000061010 17600097616 22000122020 27500152525 35200195232 44000244040 55000305050 88000488080 110000610100 137500762625 176000976160 220001220200 275001525250 440002440400 550003050500 687503813125 880004880800 1100006101000 1375007626250 2200012202000 2750015252500 4400024404000 5500030505000 11000061010000 22000122020000