Search a number
-
+
122212000100001 = 371719312239259583
BaseRepresentation
bin11011110010011010110010…
…110110100110111010100001
3121000201100112102012210221010
4123302122302312212322201
5112004310134011200001
61111531230123451133
734512345201620430
oct3362326266467241
9530640472183833
10122212000100001
1135a388aaaa5a09
1211859607686aa9
13532670817b3a6
142227141647117
15e1e0343478d6
hex6f26b2da6ea1

122212000100001 has 128 divisors (see below), whose sum is σ = 214352422502400. Its totient is φ = 60232327418880.

The previous prime is 122212000099979. The next prime is 122212000100009. The reversal of 122212000100001 is 100001000212221.

It is not a de Polignac number, because 122212000100001 - 222 = 122211995905697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122212000100001.

It is not an unprimeable number, because it can be changed into a prime (122212000100009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 470671456 + ... + 470931038.

It is an arithmetic number, because the mean of its divisors is an integer number (1674628300800).

Almost surely, 2122212000100001 is an apocalyptic number.

It is an amenable number.

122212000100001 is a deficient number, since it is larger than the sum of its proper divisors (92140422402399).

122212000100001 is a wasteful number, since it uses less digits than its factorization.

122212000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261899.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122212000100001 its reverse (100001000212221), we get a palindrome (222213000312222).

The spelling of 122212000100001 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred thousand, one".

Divisors: 1 3 7 17 19 21 31 51 57 93 119 133 217 323 357 399 527 589 651 969 1581 1767 2239 2261 3689 4123 6717 6783 10013 11067 12369 15673 30039 38063 42541 47019 69409 70091 114189 127623 208227 210273 259583 266441 297787 485863 723197 778749 799323 893361 1179953 1318771 1457589 1817081 2169591 3539859 3956313 4412911 4932077 5062379 5451243 8047073 8259671 9231397 13238733 14796231 15187137 22419107 24141219 24779013 27694191 30890377 34524539 56329511 67257321 83845309 92671131 103573617 136800241 152894387 156933749 168988533 251535927 410400723 458683161 470801247 581206337 586917163 957601687 1070260709 1743619011 1760751489 2599204579 2872805061 3210782127 4068444359 7797613737 9880507729 11042920403 12205333077 18017396447 18194432053 29641523187 33128761209 54052189341 54583296159 69163554103 77300442821 126121775129 187729646851 207490662309 231901328463 306295739599 342330532493 378365325387 563188940553 918887218797 1026991597479 1314107527957 2144070177193 2396313727451 3942322583871 5819619052381 6432210531579 7188941182353 17458857157143 40737333366667 122212000100001