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121020122020122 = 233131785911805337
BaseRepresentation
bin11011100001000100110001…
…011000100011100100011010
3120212111102002101022222211000
4123201010301120203210122
5111330243202214120442
61105215513200045430
734330262304243663
oct3341046130434432
9525442071288730
10121020122020122
113561938898a6a6
12116a6616003876
13526b1c14536a0
1421c5595a8236a
15ded0276dbd4c
hex6e113162391a

121020122020122 has 128 divisors (see below), whose sum is σ = 307014342163200. Its totient is φ = 35005748963328.

The previous prime is 121020122020117. The next prime is 121020122020141. The reversal of 121020122020122 is 221020221020121.

It is a happy number.

121020122020122 is a `hidden beast` number, since 1 + 21 + 0 + 201 + 220 + 201 + 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 = 121020122020095 and 121020122020104.

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, 4348638 + ... + 16153974.

It is an arithmetic number, because the mean of its divisors is an integer number (2398549548150).

Almost surely, 2121020122020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020122020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153507171081600).

121020122020122 is an abundant number, since it is smaller than the sum of its proper divisors (185994220143078).

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

121020122020122 is a wasteful number, since it uses less digits than its factorization.

121020122020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806237 (or 11806231 counting only the distinct ones).

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

Adding to 121020122020122 its reverse (221020221020121), we get a palindrome (342040343040243).

The spelling of 121020122020122 in words is "one hundred twenty-one trillion, twenty billion, one hundred twenty-two million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 859 918 1326 1718 1989 2577 3978 5154 5967 7731 11167 11934 14603 15462 22334 23193 29206 33501 43809 46386 67002 87618 100503 131427 189839 201006 262854 301509 379678 394281 569517 603018 788562 1139034 1708551 3417102 5125653 10251306 11805337 23610674 35416011 70832022 106248033 153469381 200690729 212496066 306938762 318744099 401381458 460408143 602072187 637488198 920816286 1204144374 1381224429 1806216561 2608979477 2762448858 3612433122 4143673287 5217958954 5418649683 7826938431 8287346574 10140784483 10837299366 15653876862 20281568966 23480815293 30422353449 46961630586 60844706898 70442445879 91267060347 131830198279 140884891758 172393336211 182534120694 263660396558 273801181041 344786672422 395490594837 517180008633 547602362082 790981189674 1034360017266 1186471784511 1551540025899 2241113370743 2372943569022 3103080051798 3559415353533 4482226741486 4654620077697 6723340112229 7118830707066 9309240155394 13446680224458 20170020336687 40340040673374 60510061010061 121020122020122