Search a number
-
+
121012021132112 = 241143671451164477
BaseRepresentation
bin11011100000111101001110…
…100010000111101101010000
3120212110122011211002020120202
4123200331032202013231100
5111330130104402211422
61105212053253554332
734326554456652455
oct3340751642075520
9525418154066522
10121012021132112
1135615a01174630
12116a4b350459a8
13526a500048826
1421c5027c3582c
15decc01413b92
hex6e0f4e887b50

121012021132112 has 160 divisors (see below), whose sum is σ = 265814680057344. Its totient is φ = 52887586752000.

The previous prime is 121012021132003. The next prime is 121012021132139. The reversal of 121012021132112 is 211231120210121.

It is a congruent number.

It is an unprimeable number.

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, 735656018 + ... + 735820494.

Almost surely, 2121012021132112 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 121012021132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132907340028672).

121012021132112 is an abundant number, since it is smaller than the sum of its proper divisors (144802658925232).

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

121012021132112 is a wasteful number, since it uses less digits than its factorization.

121012021132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166057 (or 166051 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 121012021132112 its reverse (211231120210121), we get a palindrome (332243141342233).

The spelling of 121012021132112 in words is "one hundred twenty-one trillion, twelve billion, twenty-one million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 67 86 88 134 172 176 268 344 473 536 688 737 946 1072 1451 1474 1892 2881 2902 2948 3784 5762 5804 5896 7568 11524 11608 11792 15961 23048 23216 31691 31922 46096 62393 63382 63844 97217 124786 126764 127688 164477 194434 249572 253528 255376 328954 388868 499144 507056 657908 686323 777736 998288 1069387 1315816 1372646 1555472 1809247 2138774 2631632 2745292 3618494 4180331 4277548 5490584 7072511 7236988 8360662 8555096 10981168 11019959 14145022 14473976 16721324 17110192 22039918 28290044 28947952 33442648 44079836 45983641 56580088 66885296 77797621 88159672 91967282 113160176 121219549 155595242 176319344 183934564 238656127 242439098 311190484 367869128 473858237 477312254 484878196 622380968 735738256 947716474 954624508 969756392 1244761936 1895432948 1909249016 1939512784 2625217397 3790865896 3818498032 5212440607 5250434794 7581731792 10262213461 10424881214 10500869588 15989960509 20524426922 20849762428 21001739176 31979921018 41048853844 41699524856 42003478352 63959842036 82097707688 83399049712 112884348071 127919684072 164195415376 175889565599 225768696142 255839368144 351779131198 451537392284 687568301887 703558262396 903074784568 1375136603774 1407116524792 1806149569136 2750273207548 2814233049584 5500546415096 7563251320757 11001092830192 15126502641514 30253005283028 60506010566056 121012021132112