Search a number
-
+
12122212210122 = 2374147211709853
BaseRepresentation
bin1011000001100110110000…
…1001110001010111001010
31120220212112210220122002010
42300121230021301113022
53042102242311210442
641440511205520350
72360541501450060
oct260315411612712
946825483818063
1012122212210122
113954001849153
1214394484130b6
1369c172cc2111
142dca0aa60030
151604d7205b9c
hexb066c2715ca

12122212210122 has 128 divisors (see below), whose sum is σ = 29125048393728. Its totient is φ = 3291441753600.

The previous prime is 12122212210091. The next prime is 12122212210181. The reversal of 12122212210122 is 22101221222121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16722148 + ... + 17432000.

It is an arithmetic number, because the mean of its divisors is an integer number (227539440576).

Almost surely, 212122212210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122212210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562524196864).

12122212210122 is an abundant number, since it is smaller than the sum of its proper divisors (17002836183606).

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

12122212210122 is a wasteful number, since it uses less digits than its factorization.

12122212210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710164.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12122212210122 its reverse (22101221222121), we get a palindrome (34223433432243).

The spelling of 12122212210122 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 47 82 94 123 141 211 246 282 287 329 422 574 633 658 861 987 1266 1477 1722 1927 1974 2954 3854 4431 5781 8651 8862 9917 11562 13489 17302 19834 25953 26978 29751 40467 51906 59502 60557 69419 80934 121114 138838 181671 208257 363342 406597 416514 709853 813194 1219791 1419706 2129559 2439582 2846179 4259118 4968971 5692358 8538537 9937942 14906913 17077074 29103973 29813826 33363091 58207946 66726182 87311919 100089273 149778983 174623838 200178546 203727811 233541637 299557966 407455622 449336949 467083274 611183433 700624911 898673898 1048452881 1222366866 1367886731 1401249822 2096905762 2735773462 3145358643 4103660193 6140938303 6290717286 7039612201 8207320386 9575207117 12281876606 14079224402 18422814909 19150414234 21118836603 28725621351 36845629818 42237673206 42986568121 49277285407 57451242702 85973136242 98554570814 128959704363 147831856221 257919408726 288624100241 295663712442 577248200482 865872300723 1731744601446 2020368701687 4040737403374 6061106105061 12122212210122