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122121022213113 = 371141101132196643
BaseRepresentation
bin11011110001000110000100…
…001001100000101111111001
3121000101122201000021022011220
4123301012010021200233321
5112001312323141304423
61111421342331542253
734502644526422620
oct3361060411405771
9530348630238156
10122121022213113
1135a03264394a40
1211843a572ba989
13531ac69892121
1422229909166b7
15e1b9ac2069e3
hex6f1184260bf9

122121022213113 has 128 divisors (see below), whose sum is σ = 210177895108608. Its totient is φ = 61232371200000.

The previous prime is 122121022213049. The next prime is 122121022213129. The reversal of 122121022213113 is 311312220121221.

It is not a de Polignac number, because 122121022213113 - 26 = 122121022213049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121022213213) 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, 1263581970 + ... + 1263678612.

It is an arithmetic number, because the mean of its divisors is an integer number (1642014805536).

Almost surely, 2122121022213113 is an apocalyptic number.

It is an amenable number.

122121022213113 is a deficient number, since it is larger than the sum of its proper divisors (88056872895495).

122121022213113 is a wasteful number, since it uses less digits than its factorization.

122121022213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98127.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 122121022213113 its reverse (311312220121221), we get a palindrome (433433242334334).

The spelling of 122121022213113 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 7 11 21 33 41 77 101 123 231 287 303 451 707 861 1111 1321 1353 2121 3157 3333 3963 4141 7777 9247 9471 12423 14531 23331 27741 28987 43593 45551 54161 86961 96643 101717 133421 136653 162483 289929 305151 318857 379127 400263 595771 676501 933947 956571 1063073 1137381 1467631 1787313 2029503 2801841 3189219 3962363 4170397 4402893 5470261 7441511 9760943 10273417 11887089 12511191 16410783 22324533 27736541 29282829 30820251 38291827 43585993 60172871 68326601 83209623 107370373 114875481 127665403 130757979 180518613 204979803 305101951 322111119 382996209 400198663 421210097 751592611 893657821 915305853 1200595989 1263630291 1404319433 2254777833 2680973463 2801390641 4212958299 4402185293 5234281523 8404171923 9830236031 12894205703 13206555879 15702844569 29490708093 30815297051 36639970661 38682617109 57577096753 90259439921 92445891153 109919911983 141836262733 172731290259 270778319763 403039677271 425508788199 528662433823 992853839131 1209119031813 1585987301469 2978561517393 3700637036761 5815286772053 11101911110283 17445860316159 40707007404371 122121022213113