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22021212112000 = 27531637840761
BaseRepresentation
bin1010000000111001101101…
…00001101000010010000000
32212222012121010122021221121
411000130312201220102000
510341243420300041000
6114500223304202024
74431660110346043
oct500346641502200
985865533567847
1022021212112000
1170201641665a2
122577a37469314
13c3978c39816a
14561b91d96c5a
15282c5020db1a
hex140736868480

22021212112000 has 128 divisors (see below), whose sum is σ = 54783749245680. Its totient is φ = 8803093504000.

The previous prime is 22021212111889. The next prime is 22021212112037. The reversal of 22021212112000 is 21121212022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 377949530176 + 21643262581824 = 614776^2 + 4652232^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25771620 + ... + 26612380.

Almost surely, 222021212112000 is an apocalyptic number.

22021212112000 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 22021212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27391874622840).

22021212112000 is an abundant number, since it is smaller than the sum of its proper divisors (32762537133680).

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

22021212112000 is an equidigital number, since it uses as much as digits as its factorization.

22021212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842427 (or 842405 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22021212112000 its reverse (21121212022), we get a palindrome (22042333324022).

The spelling of 22021212112000 in words is "twenty-two trillion, twenty-one billion, two hundred twelve million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 1637 2000 3200 3274 4000 6548 8000 8185 13096 16000 16370 26192 32740 40925 52384 65480 81850 104768 130960 163700 204625 209536 261920 327400 409250 523840 654800 818500 840761 1047680 1309600 1637000 1681522 2619200 3274000 3363044 4203805 5238400 6548000 6726088 8407610 13096000 13452176 16815220 21019025 26192000 26904352 33630440 42038050 53808704 67260880 84076100 105095125 107617408 134521760 168152200 210190250 269043520 336304400 420380500 538087040 672608800 840761000 1345217600 1376325757 1681522000 2690435200 2752651514 3363044000 5505303028 6726088000 6881628785 11010606056 13452176000 13763257570 22021212112 27526515140 34408143925 44042424224 55053030280 68816287850 88084848448 110106060560 137632575700 172040719625 176169696896 220212121120 275265151400 344081439250 440424242240 550530302800 688162878500 880848484480 1101060605600 1376325757000 2202121211200 2752651514000 4404242422400 5505303028000 11010606056000 22021212112000