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121211201034 = 23371149675869
BaseRepresentation
bin111000011100011000…
…0000010011000001010
3102120212102020222222000
41300320300002120022
53441220031413114
6131403400411430
711520504131520
oct1607060023012
9376772228860
10121211201034
1147450621410
121b5a9476b76
13b579100c81
145c1c150310
1532464a4e09
hex1c38c0260a

121211201034 has 128 divisors (see below), whose sum is σ = 335948083200. Its totient is φ = 31471727040.

The previous prime is 121211201017. The next prime is 121211201053. The reversal of 121211201034 is 430102112121.

It is a super-2 number, since 2×1212112010342 (a number of 23 digits) contains 22 as substring.

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 = 121211200998 and 121211201016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20649852 + ... + 20655720.

It is an arithmetic number, because the mean of its divisors is an integer number (2624594400).

Almost surely, 2121211201034 is an apocalyptic number.

121211201034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211201034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167974041600).

121211201034 is an abundant number, since it is smaller than the sum of its proper divisors (214736882166).

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

121211201034 is a wasteful number, since it uses less digits than its factorization.

121211201034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10865 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121211201034 its reverse (430102112121), we get a palindrome (551313313155).

The spelling of 121211201034 in words is "one hundred twenty-one billion, two hundred eleven million, two hundred one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 4967 5869 9934 11738 14901 17607 29802 34769 35214 41083 44703 52821 54637 64559 69538 82166 89406 104307 105642 109274 123249 129118 134109 158463 163911 193677 208614 246498 268218 312921 316926 327822 369747 382459 387354 451913 491733 581031 625842 739494 764918 903826 938763 983466 1109241 1147377 1162062 1355739 1475199 1743093 1877526 2218482 2294754 2711478 2950398 3442131 3486186 4067217 6884262 8134434 10326393 12201651 20652786 24403302 29151323 58302646 87453969 174907938 204059261 262361907 320664553 408118522 524723814 612177783 641329106 787085721 961993659 1224355566 1574171442 1836533349 1923987318 2244651871 2885980977 3673066698 4489303742 5509600047 5771961954 6733955613 8657942931 11019200094 13467911226 17315885862 20201866839 40403733678 60605600517 121211201034