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121100212102220 = 2251322311313785481
BaseRepresentation
bin11011100010001111010111…
…000111111110010001001100
3120212210001210222221201012222
4123202033113013332101030
5111333101213244232340
61105320400332314512
734336126101562421
oct3342172707762114
9525701728851188
10121100212102220
113564a34772379a
12116ba048012a38
135275916138900
1421c93d2789d48
15e00163a518b5
hex6e23d71fe44c

121100212102220 has 144 divisors (see below), whose sum is σ = 289893467287872. Its totient is φ = 42391343554560.

The previous prime is 121100212102213. The next prime is 121100212102223. The reversal of 121100212102220 is 22201212001121.

It is a super-2 number, since 2×1211002121022202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121100212102223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891880 + ... + 15677360.

It is an arithmetic number, because the mean of its divisors is an integer number (2013149078388).

Almost surely, 2121100212102220 is an apocalyptic number.

121100212102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100212102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144946733643936).

121100212102220 is an abundant number, since it is smaller than the sum of its proper divisors (168793255185652).

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

121100212102220 is a wasteful number, since it uses less digits than its factorization.

121100212102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13785652 (or 13785637 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121100212102220 its reverse (22201212001121), we get a palindrome (143301424103341).

The spelling of 121100212102220 in words is "one hundred twenty-one trillion, one hundred billion, two hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 113 115 130 169 226 230 260 299 338 452 460 565 598 676 845 1130 1196 1469 1495 1690 2260 2599 2938 2990 3380 3887 5198 5876 5980 7345 7774 10396 12995 14690 15548 19097 19435 25990 29380 33787 38194 38870 51980 67574 76388 77740 95485 135148 168935 190970 337870 381940 439231 675740 878462 1756924 2196155 4392310 8784620 13785481 27570962 55141924 68927405 137854810 179211253 275709620 317066063 358422506 634132126 716845012 896056265 1268264252 1557759353 1585330315 1792112530 2329746289 3115518706 3170660630 3584225060 4121858819 4659492578 6231037412 6341321260 7788796765 8243717638 9318985156 11648731445 15577593530 16487435276 20250871589 20609294095 23297462890 31155187060 35828465119 40501743178 41218588190 46594925780 53584164647 71656930238 81003486356 82437176380 101254357945 107168329294 143313860476 179142325595 202508715890 214336658588 263261330657 267920823235 358284651190 405017431780 465770046547 526522661314 535841646470 716569302380 931540093094 1053045322628 1071683292940 1316306653285 1863080186188 2328850232735 2632613306570 4657700465470 5265226613140 6055010605111 9315400930940 12110021210222 24220042420444 30275053025555 60550106051110 121100212102220