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22200121020112 = 247279593960353
BaseRepresentation
bin1010000110000110111100…
…10100111100111011010000
32220121022101121022111111121
411003003132110330323100
510402211321440120422
6115114332251052024
74450622460104200
oct503033624747320
986538347274447
1022200121020112
11708a022618242
1225a6647741014
13c50601c5a5b9
1456a6c4cd2400
15287721c408c7
hex1430de53ced0

22200121020112 has 120 divisors (see below), whose sum is σ = 50677950153600. Its totient is φ = 9392165572608.

The previous prime is 22200121020097. The next prime is 22200121020113. The reversal of 22200121020112 is 21102012100222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200121020113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367807728 + ... + 367868080.

It is an arithmetic number, because the mean of its divisors is an integer number (422316251280).

Almost surely, 222200121020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200121020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338975076800).

22200121020112 is an abundant number, since it is smaller than the sum of its proper divisors (28477829133488).

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

22200121020112 is a wasteful number, since it uses less digits than its factorization.

22200121020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66393 (or 66380 counting only the distinct ones).

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

Adding to 22200121020112 its reverse (21102012100222), we get a palindrome (43302133120334).

The spelling of 22200121020112 in words is "twenty-two trillion, two hundred billion, one hundred twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 553 632 784 1106 1264 2212 3871 4424 5939 7742 8848 11878 15484 23756 30968 41573 47512 60353 61936 83146 95024 120706 166292 241412 291011 332584 422471 469181 482824 582022 665168 844942 938362 965648 1164044 1689884 1876724 2328088 2957297 3284267 3379768 3753448 4656176 4767887 5914594 6568534 6759536 7506896 9535774 11829188 13137068 19071548 22989869 23658376 26274136 33375209 38143096 45979738 47316752 52548272 66750418 76286192 91959476 133500836 183918952 233626463 267001672 358436467 367837904 467252926 534003344 716872934 934505852 1433745868 1869011704 2509055269 2867491736 3738023408 5018110538 5734983472 10036221076 17563386883 20072442152 28316480893 35126773766 40144884304 56632961786 70253547532 113265923572 140507095064 198215366251 226531847144 281014190128 396430732502 453063694288 792861465004 1387507563757 1585722930008 2775015127514 3171445860016 5550030255028 11100060510056 22200121020112