Search a number
-
+
122213212344 = 233323120120483
BaseRepresentation
bin111000111010001111…
…0011010000010111000
3102200110020201110002000
41301310132122002320
54000243040243334
6132051033141000
711554362110346
oct1616436320270
9380406643060
10122213212344
1147915199333
121b828b5a760
13b6a8893782
145cb5262996
1532a4432299
hex1c7479a0b8

122213212344 has 128 divisors (see below), whose sum is σ = 354553459200. Its totient is φ = 38932185600.

The previous prime is 122213212343. The next prime is 122213212349. The reversal of 122213212344 is 443212312221.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213212343) 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, 5956327 + ... + 5976809.

It is an arithmetic number, because the mean of its divisors is an integer number (2769948900).

Almost surely, 2122213212344 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 122213212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177276729600).

122213212344 is an abundant number, since it is smaller than the sum of its proper divisors (232340246856).

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

122213212344 is a wasteful number, since it uses less digits than its factorization.

122213212344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21722 (or 21712 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122213212344 its reverse (443212312221), we get a palindrome (565425524565).

The spelling of 122213212344 in words is "one hundred twenty-two billion, two hundred thirteen million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1201 1242 1656 2402 2484 3603 4804 4968 7206 9608 10809 14412 20483 21618 27623 28824 32427 40966 43236 55246 61449 64854 81932 82869 86472 110492 122898 129708 163864 165738 184347 220984 245796 248607 259416 331476 368694 471109 491592 497214 553041 662952 737388 745821 942218 994428 1106082 1413327 1474776 1491642 1884436 1988856 2212164 2826654 2983284 3768872 4239981 4424328 5653308 5966568 8479962 11306616 12719943 16959924 24600083 25439886 33919848 49200166 50879772 73800249 98400332 101759544 147600498 196800664 221400747 295200996 442801494 565801909 590401992 664202241 885602988 1131603818 1328404482 1697405727 1771205976 2263207636 2656808964 3394811454 4526415272 5092217181 5313617928 6789622908 10184434362 13579245816 15276651543 20368868724 30553303086 40737737448 61106606172 122213212344