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121330211024 = 24116779139937
BaseRepresentation
bin111000011111111011…
…0000001100011010000
3102121011201012022222102
41300333312001203100
53441441013223044
6131423251255532
711523450530441
oct1607766014320
9377151168872
10121330211024
1147501817380
121b6212aa5a8
13b59796c399
145c2dc8d2c8
153251b6224e
hex1c3fd818d0

121330211024 has 160 divisors (see below), whose sum is σ = 265749657600. Its totient is φ = 53196549120.

The previous prime is 121330211003. The next prime is 121330211137. The reversal of 121330211024 is 420112033121.

It is a super-2 number, since 2×1213302110242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121330210987 and 121330211005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129487484 + ... + 129488420.

It is an arithmetic number, because the mean of its divisors is an integer number (1660935360).

Almost surely, 2121330211024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121330211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874828800).

121330211024 is an abundant number, since it is smaller than the sum of its proper divisors (144419446576).

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

121330211024 is a wasteful number, since it uses less digits than its factorization.

121330211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121330211024 its reverse (420112033121), we get a palindrome (541442244145).

The spelling of 121330211024 in words is "one hundred twenty-one billion, three hundred thirty million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 67 79 88 134 139 158 176 268 278 316 536 556 632 737 869 937 1072 1112 1264 1474 1529 1738 1874 2224 2948 3058 3476 3748 5293 5896 6116 6952 7496 9313 10307 10586 10981 11792 12232 13904 14992 18626 20614 21172 21962 24464 37252 41228 42344 43924 58223 62779 74023 74504 82456 84688 87848 102443 116446 120791 125558 130243 148046 149008 164912 175696 204886 232892 241582 251116 260486 296092 409772 465784 483164 502232 520972 592184 690569 735727 814253 819544 931568 966328 1004464 1041944 1184368 1381138 1432673 1471454 1628506 1639088 1932656 2083888 2762276 2865346 2942908 3257012 4959541 5524552 5730692 5885816 6514024 8092997 8726281 9919082 10289197 11049104 11461384 11771632 13028048 16185994 17452562 19838164 20578394 22922768 32371988 34905124 39676328 41156788 54554951 64743976 69810248 79352656 82313576 95989091 109109902 113181167 129487952 139620496 164627152 191978182 218219804 226362334 383956364 436439608 452724668 689376199 767912728 872879216 905449336 1378752398 1535825456 1810898672 2757504796 5515009592 7583138189 11030019184 15166276378 30332552756 60665105512 121330211024