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221012101212 = 223717353438443
BaseRepresentation
bin1100110111010101011…
…0010000100001011100
3210010110201021000121020
43031311112100201130
512110113044214322
6245310452204140
721652612602210
oct3156526204134
9703421230536
10221012101212
1185804629901
1236a00609650
1317ac25b0066
14a9a8984940
155b37eb205c
hex337559085c

221012101212 has 96 divisors (see below), whose sum is σ = 625803397632. Its totient is φ = 59263328256.

The previous prime is 221012101187. The next prime is 221012101217. The reversal of 221012101212 is 212101210122.

It is a junction number, because it is equal to n+sod(n) for n = 221012101191 and 221012101200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012101217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284863 + ... + 723305.

It is an arithmetic number, because the mean of its divisors is an integer number (6518785392).

Almost surely, 2221012101212 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 221012101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312901698816).

221012101212 is an abundant number, since it is smaller than the sum of its proper divisors (404791296420).

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

221012101212 is a wasteful number, since it uses less digits than its factorization.

221012101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438827 (or 438825 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221012101212 its reverse (212101210122), we get a palindrome (433113311334).

The spelling of 221012101212 in words is "two hundred twenty-one billion, twelve million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 353 357 476 706 714 1059 1412 1428 2118 2471 4236 4942 6001 7413 9884 12002 14826 18003 24004 29652 36006 42007 72012 84014 126021 168028 252042 438443 504084 876886 1315329 1753772 2630658 3069101 5261316 6138202 7453531 9207303 12276404 14907062 18414606 22360593 29814124 36829212 44721186 52174717 89442372 104349434 154770379 156524151 208698868 309540758 313048302 464311137 619081516 626096604 928622274 1083392653 1857244548 2166785306 2631096443 3250177959 4333570612 5262192886 6500355918 7893289329 10524385772 13000711836 15786578658 18417675101 31573157316 36835350202 55253025303 73670700404 110506050606 221012101212