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212221222122 = 237133710619901
BaseRepresentation
bin1100010110100101011…
…1101101110011101010
3202021210001200002112210
43011221113231303222
511434112113101442
6241254301145550
721222016424130
oct3055127556352
9667701602483
10212221222122
1182003390278
123516855b2b6
131702125b760
14a3b3247750
1557c134219c
hex31695edcea

212221222122 has 128 divisors (see below), whose sum is σ = 537069270528. Its totient is φ = 54400896000.

The previous prime is 212221222093. The next prime is 212221222163. The reversal of 212221222122 is 221222122212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

212221222122 is a modest number, since divided by 21222122 gives 2122 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21429372 + ... + 21439272.

It is an arithmetic number, because the mean of its divisors is an integer number (4195853676).

Almost surely, 2212221222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268534635264).

212221222122 is an abundant number, since it is smaller than the sum of its proper divisors (324848048406).

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

212221222122 is a wasteful number, since it uses less digits than its factorization.

212221222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11024.

The product of its digits is 512, while the sum is 21.

Adding to 212221222122 its reverse (221222122212), we get a palindrome (433443344334).

It can be divided in two parts, 21222122212 and 2, that multiplied together give a palindrome (42444244424).

The spelling of 212221222122 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1061 1443 1554 2122 2886 3183 3367 6366 6734 7427 9901 10101 13793 14854 19802 20202 22281 27586 29703 39257 41379 44562 59406 69307 78514 82758 96551 117771 128713 138614 193102 207921 235542 257426 274799 289653 366337 386139 415842 510341 549598 579306 732674 772278 824397 900991 1020682 1099011 1531023 1648794 1801982 2198022 2564359 2702973 3062046 3572387 4762381 5128718 5405946 7144774 7693077 9524762 10504961 10717161 14287143 15386154 21009922 21434322 28574286 31514883 33336667 63029766 66673334 73534727 100010001 136564493 147069454 200020002 220604181 273128986 388683557 409693479 441208362 777367114 819386958 955951451 1166050671 1911902902 2332101342 2720784899 2867854353 5052886241 5441569798 5735708706 8162354697 10105772482 15158658723 16324709394 30317317446 35370203687 70740407374 106110611061 212221222122