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12102000101212 = 22719234639213203
BaseRepresentation
bin1011000000011011011101…
…1010101100011101011100
31120211221101012021010002211
42300012313122230131130
53041234344011214322
641423325422130204
72356224562403620
oct260066732543534
946757335233084
1012102000101212
11394647a61660a
121435547420964
1369a2a16b0768
142dba50523180
1515ec02a3cb77
hexb01b76ac75c

12102000101212 has 96 divisors (see below), whose sum is σ = 26591485132800. Its totient is φ = 4698924322752.

The previous prime is 12102000101173. The next prime is 12102000101299. The reversal of 12102000101212 is 21210100020121.

It is a junction number, because it is equal to n+sod(n) for n = 12102000101192 and 12102000101201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56656203 + ... + 56869405.

It is an arithmetic number, because the mean of its divisors is an integer number (276994636800).

Almost surely, 212102000101212 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 12102000101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295742566400).

12102000101212 is an abundant number, since it is smaller than the sum of its proper divisors (14489485031588).

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

12102000101212 is a wasteful number, since it uses less digits than its factorization.

12102000101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217895 (or 217893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12102000101212 its reverse (21210100020121), we get a palindrome (33312100121333).

The spelling of 12102000101212 in words is "twelve trillion, one hundred two billion, one hundred one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 4639 6118 9278 12236 18556 32473 64946 88141 106697 129892 176282 213203 213394 352564 426406 426788 616987 746879 852812 1233974 1492421 1493758 2027243 2467948 2984842 2987516 4050857 4054486 4903669 5969684 8101714 8108972 9807338 14190701 16203428 19614676 28355999 28381402 34325683 56711998 56762804 68651366 93169711 113423996 137302732 186339422 372678844 652187977 989048717 1304375954 1978097434 2608751908 3956194868 6923341019 13846682038 18791925623 22748120491 27693364076 37583851246 45496240982 75167702492 90992481964 131543479361 159236843437 263086958722 318473686874 432214289329 526173917444 636947373748 864428578658 1728857157316 3025500025303 6051000050606 12102000101212