Search a number
-
+
2212122001122 = 2341179109144161
BaseRepresentation
bin100000001100001100101…
…111101111111011100010
321211110212120210222220000
4200030030233233323202
5242220411213013442
64412122415400430
7315551305523145
oct40141457577342
97743776728800
102212122001122
11783179221930
122b8883223116
131307aa092a77
14790d286a05c
153c820770d4c
hex2030cbefee2

2212122001122 has 160 divisors (see below), whose sum is σ = 5526133113600. Its totient is φ = 655778073600.

The previous prime is 2212122001121. The next prime is 2212122001153. The reversal of 2212122001122 is 2211002212122.

It is a happy number.

2212122001122 is a `hidden beast` number, since 221 + 212 + 200 + 11 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212122001095 and 2212122001104.

It is not an unprimeable number, because it can be changed into a prime (2212122001121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15272722 + ... + 15416882.

It is an arithmetic number, because the mean of its divisors is an integer number (34538331960).

Almost surely, 22212122001122 is an apocalyptic number.

2212122001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212122001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763066556800).

2212122001122 is an abundant number, since it is smaller than the sum of its proper divisors (3314011112478).

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

2212122001122 is a wasteful number, since it uses less digits than its factorization.

2212122001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144374 (or 144365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212122001122 its reverse (2211002212122), we get a palindrome (4423124213244).

The spelling of 2212122001122 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 109 158 162 198 218 237 297 327 474 594 654 711 869 891 981 1199 1422 1738 1782 1962 2133 2398 2607 2943 3597 4266 5214 5886 6399 7194 7821 8611 8829 10791 12798 15642 17222 17658 21582 23463 25833 32373 46926 51666 64746 70389 77499 94721 97119 140778 144161 154998 189442 194238 232497 284163 288322 432483 464994 568326 697491 852489 864966 1297449 1394982 1585771 1704978 2557467 2594898 3171542 3892347 4757313 5114934 7672401 7784694 9514626 11388719 11677041 14271939 15344802 15713549 22777438 23354082 28543878 31427098 34166157 42815817 47140647 68332314 85631634 94281294 102498471 125275909 128447451 141421941 172849039 204996942 250551818 256894902 282843882 307495413 345698078 375827727 424265823 518547117 614990826 751655454 848531646 922486239 1037094234 1127483181 1241370371 1272797469 1555641351 1844972478 2254966362 2482740742 2545594938 3111282702 3382449543 3724111113 4666924053 6764899086 7448222226 9333848106 10147348629 11172333339 13655074081 14000772159 20294697258 22344666678 27310148162 28001544318 33517000017 40965222243 67034000034 81930444486 100551000051 122895666729 201102000102 245791333458 368687000187 737374000374 1106061000561 2212122001122