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122113121200202 = 21131931420118539
BaseRepresentation
bin11011110000111110101101…
…001101100010100001001010
3121000100220022101010021001002
4123300332231031202201022
5112001200133011401302
61111413554325455002
734502244660055556
oct3360765515424112
9530326271107032
10122113121200202
11359aa97a487000
1211842411271462
13531a2aa9c9762
142222441458866
15e1b698760c02
hex6f0fad36284a

122113121200202 has 128 divisors (see below), whose sum is σ = 218981831270400. Its totient is φ = 50873462640000.

The previous prime is 122113121200199. The next prime is 122113121200241. The reversal of 122113121200202 is 202002121311221.

It is a super-2 number, since 2×1221131212002022 (a number of 29 digits) contains 22 as substring.

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, 6586814249 + ... + 6586832787.

It is an arithmetic number, because the mean of its divisors is an integer number (1710795556800).

Almost surely, 2122113121200202 is an apocalyptic number.

122113121200202 is a deficient number, since it is larger than the sum of its proper divisors (96868710070198).

122113121200202 is a wasteful number, since it uses less digits than its factorization.

122113121200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22825 (or 22803 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 122113121200202 its reverse (202002121311221), we get a palindrome (324115242511423).

The spelling of 122113121200202 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-one million, two hundred thousand, two hundred two".

Divisors: 1 2 11 19 22 31 38 62 121 209 242 341 418 589 682 1178 1331 2299 2662 3751 4201 4598 6479 7502 8402 12958 18539 25289 37078 41261 46211 50578 71269 79819 82522 92422 130231 142538 159638 203929 260462 352241 407858 508321 574709 704482 783959 878009 1016642 1149418 1432541 1567918 1756018 2243219 2474389 2865082 3874651 4486438 4948778 5591531 6321799 7749302 9658099 10919471 11183062 12643598 15757951 19316198 21838942 24675409 27218279 31515902 42621161 49350818 54436558 69539789 77882339 85242322 106239089 120114181 139079578 155764678 173337461 212478178 240228362 299401069 346674922 468832771 598802138 764937679 856705729 937665542 1321255991 1479764441 1529875358 1713411458 2414352509 2642511982 2959528882 3293411759 4828705018 6586823518 9423763019 14533815901 16277408851 18847526038 26557877599 29067631802 32554817702 45872697671 53115755198 91745395342 103661393209 179051497361 207322786418 292136653589 358102994722 504599674381 584273307178 1009199348762 1969566470971 3213503189479 3939132941942 5550596418191 6427006378958 11101192836382 61056560600101 122113121200202