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121301021131122 = 23773892179204007
BaseRepresentation
bin11011100101001010011000…
…010001101000000101110010
3120220111021010201120022201210
4123211022120101220011302
5111344343442402143442
61105552530402540550
734356465245266320
oct3345123021500562
9526437121508653
10121301021131122
1135717524132318
1211730b4a667756
13528b838c4c4c1
1421d50020a6d10
15e054b803319c
hex6e5298468172

121301021131122 has 128 divisors (see below), whose sum is σ = 284347329638400. Its totient is φ = 33782923570176.

The previous prime is 121301021131067. The next prime is 121301021131139. The reversal of 121301021131122 is 221131120103121.

121301021131122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 594490443 + ... + 594694449.

It is an arithmetic number, because the mean of its divisors is an integer number (2221463512800).

Almost surely, 2121301021131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121301021131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142173664819200).

121301021131122 is an abundant number, since it is smaller than the sum of its proper divisors (163046308507278).

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

121301021131122 is a wasteful number, since it uses less digits than its factorization.

121301021131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206360.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121301021131122 its reverse (221131120103121), we get a palindrome (342432141234243).

The spelling of 121301021131122 in words is "one hundred twenty-one trillion, three hundred one billion, twenty-one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 73 89 146 178 219 267 438 511 534 623 1022 1246 1533 1869 2179 3066 3738 4358 6497 6537 12994 13074 15253 19491 30506 38982 45479 45759 90958 91518 136437 159067 193931 204007 272874 318134 387862 408014 477201 581793 612021 954402 1113469 1163586 1224042 1357517 1428049 2226938 2715034 2856098 3340407 4072551 4284147 6680814 8145102 8568294 14156963 14892511 18156623 28313926 29785022 36313246 42470889 44677533 54469869 84941778 89355066 99098741 104247577 108939738 127096361 198197482 208495154 254192722 297296223 312742731 381289083 444531253 594592446 625485462 762578166 889062506 1325433479 1333593759 2650866958 2667187518 3111718771 3976300437 6223437542 7952600874 9278034353 9335156313 18556068706 18670312626 27834103059 32450781469 39563281517 55668206118 64901562938 79126563034 97352344407 118689844551 194704688814 227155470283 237379689102 276942970619 454310940566 553885941238 681466410849 830828911857 1362932821698 1661657823714 2888119550741 5776239101482 8664358652223 17328717304446 20216836855187 40433673710374 60650510565561 121301021131122