Search a number
-
+
121022001333212 = 227431274991586111
BaseRepresentation
bin11011100001000110100001…
…011001100100001111011100
3120212111120221100120222201112
4123201012201121210033130
5111330311024320130322
61105220423452201152
734330360004163620
oct3341064131441734
9525446840528645
10121022001333212
113561a162796411
12116a6a5b4691b8
13526b4308c3275
1421c56d34c3180
15ded0d76b05e2
hex6e11a16643dc

121022001333212 has 96 divisors (see below), whose sum is σ = 250123517952000. Its totient is φ = 50160716061120.

The previous prime is 121022001333199. The next prime is 121022001333271. The reversal of 121022001333212 is 212333100220121.

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, 75508037 + ... + 77094147.

It is an arithmetic number, because the mean of its divisors is an integer number (2605453312000).

Almost surely, 2121022001333212 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 121022001333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125061758976000).

121022001333212 is an abundant number, since it is smaller than the sum of its proper divisors (129101516618788).

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

121022001333212 is a wasteful number, since it uses less digits than its factorization.

121022001333212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586791 (or 1586789 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121022001333212 its reverse (212333100220121), we get a palindrome (333355101553333).

The spelling of 121022001333212 in words is "one hundred twenty-one trillion, twenty-two billion, one million, three hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 43 86 127 172 254 301 499 508 602 889 998 1204 1778 1996 3493 3556 5461 6986 10922 13972 21457 21844 38227 42914 63373 76454 85828 126746 150199 152908 253492 300398 443611 600796 887222 1586111 1774444 2725039 3172222 5450078 6344444 10900156 11102777 19075273 22205554 38150546 44411108 68202773 76301092 136405546 201436097 272811092 402872194 477419411 791469389 805744388 954838822 1410052679 1582938778 1909677644 2820105358 3165877556 5540285723 5640210716 8661752171 11080571446 17323504342 22161142892 34033183727 34647008684 60632265197 68066367454 100516612403 121264530394 136132734908 201033224806 238232286089 242529060788 402066449612 476464572178 703616286821 952929144356 1407232573642 2814465147284 4322214333329 8644428666658 17288857333316 30255500333303 60511000666606 121022001333212