Search a number
-
+
12122111200012 = 22112367178781653
BaseRepresentation
bin1011000001100110011000…
…1000011100101100001100
31120220212021202211210020221
42300121212020130230030
53042102040431400022
641440453200521124
72360536134050002
oct260314610345414
946825252753227
1012122111200012
113953a5a827820
12143941a6201a4
1369c1580b6918
142dc9db488a72
151604cd401cc7
hexb066621cb0c

12122111200012 has 48 divisors (see below), whose sum is σ = 24508819383552. Its totient is φ = 5191819174080.

The previous prime is 12122111199997. The next prime is 12122111200037. The reversal of 12122111200012 is 21000211122121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89323023 + ... + 89458630.

It is an arithmetic number, because the mean of its divisors is an integer number (510600403824).

Almost surely, 212122111200012 is an apocalyptic number.

It is an amenable number.

12122111200012 is an abundant number, since it is smaller than the sum of its proper divisors (12386708183540).

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

12122111200012 is a wasteful number, since it uses less digits than its factorization.

12122111200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178781758 (or 178781756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122111200012 its reverse (21000211122121), we get a palindrome (33122322322133).

The spelling of 12122111200012 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, two hundred thousand, twelve".

Divisors: 1 2 4 11 22 23 44 46 67 92 134 253 268 506 737 1012 1474 1541 2948 3082 6164 16951 33902 67804 178781653 357563306 715126612 1966598183 3933196366 4111978019 7866392732 8223956038 11978370751 16447912076 23956741502 45231758209 47913483004 90463516418 131762078261 180927032836 263524156522 275502527273 527048313044 551005054546 1102010109092 3030527800003 6061055600006 12122111200012