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10122232212012 = 22317832772158183
BaseRepresentation
bin1001001101001100010000…
…0011100010101000101100
31022211200020202200222112210
42103103010003202220230
52311320312421241022
633310031141330420
72063210231116404
oct223230403425054
938750222628483
1010122232212012
1132528a621a058
12117590b106a10
135856a3941cab
1426dcc0ad9804
15128480d79a0c
hex934c40e2a2c

10122232212012 has 96 divisors (see below), whose sum is σ = 25400548035072. Its totient is φ = 3126014401536.

The previous prime is 10122232211999. The next prime is 10122232212041. The reversal of 10122232212012 is 21021223222101.

It is a self number, because there is not a number n which added to its sum of digits gives 10122232212012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3611073 + ... + 5769255.

It is an arithmetic number, because the mean of its divisors is an integer number (264589042032).

Almost surely, 210122232212012 is an apocalyptic number.

10122232212012 is a gapful number since it is divisible by the number (12) 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 10122232212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700274017536).

10122232212012 is an abundant number, since it is smaller than the sum of its proper divisors (15278315823060).

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

10122232212012 is a wasteful number, since it uses less digits than its factorization.

10122232212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158567 (or 2158565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10122232212012 its reverse (21021223222101), we get a palindrome (31143455434113).

The spelling of 10122232212012 in words is "ten trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 277 332 498 554 831 996 1108 1411 1662 2822 3324 4233 4709 5644 8466 9418 14127 16932 18836 22991 28254 45982 56508 68973 91964 137946 275892 390847 781694 1172541 1563388 2158183 2345082 4316366 4690164 6474549 8632732 12949098 25898196 36689111 73378222 110067333 146756444 179129189 220134666 358258378 440269332 537387567 597816691 716516756 1074775134 1195633382 1793450073 2149550268 2391266764 3045196213 3586900146 6090392426 7173800292 9135588639 10162883747 12180784852 18271177278 20325767494 30488651241 36542354556 40651534988 49618785353 60977302482 99237570706 121954604964 148856356059 198475141412 297712712118 595425424236 843519351001 1687038702002 2530558053003 3374077404004 5061116106006 10122232212012