Search a number
-
+
121123560636 = 2232131916638191
BaseRepresentation
bin111000011001110000…
…1101101110010111100
3102120122022100101221100
41300303201231302330
53441030112420021
6131350550133100
711515361164251
oct1606341556274
9376568311840
10121123560636
1147406101931
121b584051190
13b563bc7050
145c10659428
15323d942626
hex1c3386dcbc

121123560636 has 144 divisors (see below), whose sum is σ = 347330314240. Its totient is φ = 35281733760.

The previous prime is 121123560631. The next prime is 121123560673. The reversal of 121123560636 is 636065321121.

121123560636 is a `hidden beast` number, since 1 + 2 + 1 + 12 + 3 + 5 + 6 + 0 + 636 = 666.

121123560636 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1211235606362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121123560636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123560631) 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, 14783301 + ... + 14791491.

Almost surely, 2121123560636 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 121123560636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173665157120).

121123560636 is an abundant number, since it is smaller than the sum of its proper divisors (226206753604).

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

121123560636 is a wasteful number, since it uses less digits than its factorization.

121123560636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 121123560636 its reverse (636065321121), we get a palindrome (757188881757).

The spelling of 121123560636 in words is "one hundred twenty-one billion, one hundred twenty-three million, five hundred sixty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 1663 2223 2964 3326 4446 4989 6652 8191 8892 9978 14967 16382 19956 21619 24573 29934 31597 32764 43238 49146 59868 63194 64857 73719 86476 94791 98292 106483 126388 129714 147438 155629 189582 194571 212966 259428 284373 294876 311258 319449 379164 389142 410761 425932 466887 568746 622516 638898 778284 821522 933774 958347 1137492 1232283 1277796 1400661 1643044 1867548 1916694 2023177 2464566 2801322 3696849 3833388 4046354 4929132 5602644 6069531 7393698 8092708 12139062 13621633 14787396 18208593 24278124 27243266 36417186 40864899 54486532 72834372 81729798 122594697 163459596 177081229 245189394 258811027 354162458 490378788 517622054 531243687 708324916 776433081 1035244108 1062487374 1552866162 1593731061 2124974748 2329299243 3105732324 3187462122 3364543351 4658598486 6374924244 6729086702 9317196972 10093630053 13458173404 20187260106 30280890159 40374520212 60561780318 121123560636