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121020211212112 = 24476771109730839
BaseRepresentation
bin11011100001000100110110…
…101100110010111101010000
3120212111102022121011102020001
4123201010312230302331100
5111330243343032241422
61105215530103455344
734330264436332642
oct3341046654627520
9525442277142201
10121020211212112
1135619424269993
12116a663ba57554
13526b206a81904
1421c55a385c892
15ded030459227
hex6e1136b32f50

121020211212112 has 160 divisors (see below), whose sum is σ = 246695399055360. Its totient is φ = 57462769351680.

The previous prime is 121020211212083. The next prime is 121020211212113. The reversal of 121020211212112 is 211212112020121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121020211212112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020211212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924243189 + ... + 3924274027.

It is an arithmetic number, because the mean of its divisors is an integer number (1541846244096).

Almost surely, 2121020211212112 is an apocalyptic number.

It is an amenable number.

121020211212112 is an abundant number, since it is smaller than the sum of its proper divisors (125675187843248).

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

121020211212112 is a wasteful number, since it uses less digits than its factorization.

121020211212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32129 (or 32123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121020211212112 its reverse (211212112020121), we get a palindrome (332232323232233).

The spelling of 121020211212112 in words is "one hundred twenty-one trillion, twenty billion, two hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 47 67 71 94 134 142 188 268 284 376 536 568 752 1072 1097 1136 2194 3149 3337 4388 4757 6298 6674 8776 9514 12596 13348 17552 19028 25192 26696 30839 38056 50384 51559 53392 61678 73499 76112 77887 103118 123356 146998 155774 206236 223579 246712 293996 311548 412472 447158 493424 587992 623096 824944 894316 1175984 1246192 1449433 1788632 2066213 2189569 2898866 3454453 3577264 3660689 4132426 4379138 5218429 5797732 6908906 7321378 8264852 8758276 10436858 11595464 13817812 14642756 16529704 17516552 20873716 23190928 27635624 29285512 33059408 33830383 35033104 41747432 55271248 58571024 67660766 83494864 97112011 102909743 135321532 146701123 194224022 205819486 245266163 270643064 293402246 388448044 411638972 490532326 541286128 586804492 776896088 823277944 981064652 1173608984 1553792176 1590028001 1646555888 1962129304 2266635661 2347217968 2401957193 3180056002 3924258608 4533271322 4803914386 6360112004 6894952781 9066542644 9607828772 12720224008 13789905562 18133085288 19215657544 25440448016 27579811124 36266170576 38431315088 55159622248 106531876067 110319244496 112891988071 160931131931 213063752134 225783976142 321862263862 426127504268 451567952284 643724527724 852255008536 903135904568 1287449055448 1704510017072 1806271809136 2574898110896 7563763200757 15127526401514 30255052803028 60510105606056 121020211212112