Search a number
-
+
12122001111222 = 23229101932576997
BaseRepresentation
bin1011000001100101111110…
…0100011111100010110110
31120220212000002200200211100
42300121133210133202312
53042101324241024342
641440434225150530
72360533326235302
oct260313744374266
946825002620740
1012122001111222
113953a03675452
1214393a978b446
1369c13b350022
142dc9ca9ccd02
151604c3907e4c
hexb065f91f8b6

12122001111222 has 96 divisors (see below), whose sum is σ = 27208904205600. Its totient is φ = 3895751591424.

The previous prime is 12122001111217. The next prime is 12122001111223. The reversal of 12122001111222 is 22211110022121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12122001111195 and 12122001111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122001111223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732453428 + ... + 1732460424.

It is an arithmetic number, because the mean of its divisors is an integer number (283426085475).

Almost surely, 212122001111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122001111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604452102800).

12122001111222 is an abundant number, since it is smaller than the sum of its proper divisors (15086903094378).

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

12122001111222 is a wasteful number, since it uses less digits than its factorization.

12122001111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11307 counting only the distinct ones).

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

Adding to 12122001111222 its reverse (22211110022121), we get a palindrome (34333111133343).

The spelling of 12122001111222 in words is "twelve trillion, one hundred twenty-two billion, one million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 1019 2038 3057 3257 6114 6514 6997 9171 9771 13994 18342 19542 20991 29313 29551 41982 58626 59102 62973 88653 94453 125946 177306 188906 202913 265959 283359 405826 531918 566718 608739 850077 1217478 1700154 1826217 3318883 3652434 6637766 7129943 9956649 14259886 19913298 21389829 22789229 29869947 42779658 45578458 59739894 64169487 68367687 96247607 128338974 136735374 192495214 205103061 206768347 288742821 410206122 413536694 577485642 620305041 660887641 866228463 1240610082 1321775282 1732456926 1860915123 1982662923 3721830246 3965325846 5947988769 11895977538 23222224351 46444448702 69666673053 139333346106 209000019159 418000038318 673444506179 1346889012358 2020333518537 4040667037074 6061000555611 12122001111222