Search a number
-
+
121220110212102 = 232112434259303907
BaseRepresentation
bin11011100011111111000001…
…100110111101110000000110
3120220012112021220101202202100
4123203333001212331300012
5111342032241203241402
61105451425545052530
734350602222651166
oct3343770146756006
9526175256352670
10121220110212102
1135696184016300
1211719329787146
13528401319a065
1421d112836c5a6
15e0332eacc71c
hex6e3fc19bdc06

121220110212102 has 144 divisors (see below), whose sum is σ = 295474942002240. Its totient is φ = 35870560054560.

The previous prime is 121220110212079. The next prime is 121220110212169. The reversal of 121220110212102 is 201212011022121.

121220110212102 is a `hidden beast` number, since 1 + 21 + 220 + 110 + 212 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398720433 + ... + 399024339.

It is an arithmetic number, because the mean of its divisors is an integer number (2051909319460).

Almost surely, 2121220110212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220110212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147737471001120).

121220110212102 is an abundant number, since it is smaller than the sum of its proper divisors (174254831790138).

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

121220110212102 is a wasteful number, since it uses less digits than its factorization.

121220110212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308239 (or 308225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121220110212102 its reverse (201212011022121), we get a palindrome (322432121234223).

The spelling of 121220110212102 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred ten million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 946 1089 1419 2178 2838 4257 4259 5203 8514 8518 10406 12777 15609 25554 31218 38331 46827 46849 76662 93654 93698 140547 183137 281094 303907 366274 421641 515339 549411 607814 843282 911721 1030678 1098822 1546017 1648233 1823442 2014507 2735163 3092034 3296466 3342977 4029014 4638051 5470326 6043521 6685954 9276102 10028931 12087042 13068001 18130563 20057862 22159577 26136002 30086793 36261126 36772747 39204003 44319154 60173586 66478731 73545494 78408006 110318241 117612009 132957462 143748011 199436193 220636482 235224018 287496022 330954723 398872386 431244033 661909446 862488066 1293732099 1294339913 1581228121 2587464198 2588679826 3162456242 3883019739 4743684363 7766039478 9487368726 11649059217 14231053089 14237739043 23298118434 28462106178 28475478086 42713217129 55656616259 85426434258 111313232518 128139651387 156615129473 166969848777 256279302774 313230258946 333939697554 469845388419 500909546331 612222778849 939690776838 1001819092662 1224445557698 1409536165257 1836668336547 2819072330514 3673336673094 5510005009641 6734450567339 11020010019282 13468901134678 20203351702017 40406703404034 60610055106051 121220110212102