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121121221221210 = 23572394649519091
BaseRepresentation
bin11011100010100010111011…
…010111011001101101011010
3120212212002001011022112111010
4123202202323113121231122
5111333422230113034320
61105334153150514350
734340501526260250
oct3342427327315532
9525762034275433
10121121221221210
1135658248834851
121170212bb059b6
1352778b38c4272
1421ca426ab45d0
15e009931a0ae0
hex6e28bb5d9b5a

121121221221210 has 128 divisors (see below), whose sum is σ = 333680643072000. Its totient is φ = 27563031175680.

The previous prime is 121121221221193. The next prime is 121121221221239. The reversal of 121121221221210 is 12122122121121.

It is a super-3 number, since 3×1211212212212103 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 233073765 + ... + 233592855.

It is an arithmetic number, because the mean of its divisors is an integer number (2606880024000).

Almost surely, 2121121221221210 is an apocalyptic number.

121121221221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121121221221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166840321536000).

121121221221210 is an abundant number, since it is smaller than the sum of its proper divisors (212559421850790).

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

121121221221210 is a wasteful number, since it uses less digits than its factorization.

121121221221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523996.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 121121221221210 its reverse (12122122121121), we get a palindrome (133243343342331).

The spelling of 121121221221210 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 239 478 717 1195 1434 1673 2390 3346 3585 4649 5019 7170 8365 9298 10038 13947 16730 23245 25095 27894 32543 46490 50190 65086 69735 97629 139470 162715 195258 325430 488145 519091 976290 1038182 1111111 1557273 2222222 2595455 3114546 3333333 3633637 5190910 5555555 6666666 7267274 7777777 7786365 10900911 11111110 15555554 15572730 16666665 18168185 21801822 23333331 33333330 36336370 38888885 46666662 54504555 77777770 109009110 116666655 124062749 233333310 248125498 372188247 620313745 744376494 868439243 1240627490 1736878486 1860941235 2413254059 2605317729 3721882470 4342196215 4826508118 5210635458 7239762177 8684392430 12066270295 13026588645 14479524354 16892778413 24132540590 26053177290 33785556826 36198810885 50678335239 72397621770 84463892065 101356670478 168927784130 253391676195 506783352390 576767720101 1153535440202 1730303160303 2883838600505 3460606320606 4037374040707 5767677201010 8074748081414 8651515801515 12112122122121 17303031603030 20186870203535 24224244244242 40373740407070 60560610610605 121121221221210