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121101112220022 = 23211267897192507
BaseRepresentation
bin11011100010010000001100…
…110001101001100101110110
3120212210011010201200102201100
4123202100030301221211312
5111333110034212020042
61105321025525110530
734336160311501524
oct3342201461514566
9525704121612640
10121101112220022
113564a769826600
12116ba259558446
135275a2a773aac
1421c947a137314
15e001b7aa324c
hex6e240cc69976

121101112220022 has 144 divisors (see below), whose sum is σ = 292747852103616. Its totient is φ = 36145165399200.

The previous prime is 121101112220021. The next prime is 121101112220027. The reversal of 121101112220022 is 220022211101121.

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 = 121101112219977 and 121101112220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101112220021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1309055893 + ... + 1309148399.

It is an arithmetic number, because the mean of its divisors is an integer number (2032971195164).

Almost surely, 2121101112220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121101112220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146373926051808).

121101112220022 is an abundant number, since it is smaller than the sum of its proper divisors (171646739883594).

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

121101112220022 is a wasteful number, since it uses less digits than its factorization.

121101112220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101575 (or 101561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121101112220022 its reverse (220022211101121), we get a palindrome (341123323321143).

The spelling of 121101112220022 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twelve million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 121 134 198 201 242 363 402 603 726 737 1089 1206 1474 2178 2211 4422 6633 8107 8971 13266 16214 17942 24321 26913 48642 53826 72963 80739 92507 98681 145926 161478 185014 197362 277521 296043 555042 592086 601057 832563 888129 1017577 1085491 1202114 1665126 1776258 1803171 2035154 2170982 3052731 3256473 3606342 5409513 6105462 6197969 6512946 6611627 9158193 9769419 10819026 11193347 12395938 13223254 18316386 18593907 19538838 19834881 22386694 33580041 37187814 39669762 55781721 59504643 67160082 68177659 72727897 100740123 111563442 119009286 136355318 145455794 201480246 204532977 218183691 409065954 436367382 613598931 654551073 749954249 829880297 1227197862 1309102146 1499908498 1659760594 2249862747 2489640891 4499725494 4979281782 6749588241 7468922673 9128683267 13499176482 14937845346 18257366534 27386049801 54772099602 55601979899 82158149403 100415515937 111203959798 164316298806 166805939697 200831031874 301246547811 333611879394 500417819091 602493095622 611621778889 903739643433 1000835638182 1223243557778 1807479286866 1834865336667 3669730673334 5504596010001 6727839567779 11009192020002 13455679135558 20183518703337 40367037406674 60550556110011 121101112220022