Search a number
-
+
12022221222120 = 2335221071453181
BaseRepresentation
bin1010111011110010010000…
…1110011011000011101000
31120120022110021020010222010
42232330210032123003220
53033433002113101440
641322533203555520
72350401564204444
oct256744416330350
946508407203863
1012022221222120
11391566050898a
121421ba168bba0
136928c9319625
142d7c42ca7824
1515cad3b9b580
hexaef2439b0e8

12022221222120 has 64 divisors (see below), whose sum is σ = 36066906397440. Its totient is φ = 3205904083200.

The previous prime is 12022221222119. The next prime is 12022221222139. The reversal of 12022221222120 is 2122212222021.

12022221222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120222212221202 (a number of 27 digits) contains 22 as substring.

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, 26301930 + ... + 26755110.

It is an arithmetic number, because the mean of its divisors is an integer number (563545412460).

Almost surely, 212022221222120 is an apocalyptic number.

12022221222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022221222120 is an abundant number, since it is smaller than the sum of its proper divisors (24044685175320).

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

12022221222120 is a wasteful number, since it uses less digits than its factorization.

12022221222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674266 (or 674262 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12022221222120 its reverse (2122212222021), we get a palindrome (14144433444141).

Subtracting from 12022221222120 its reverse (2122212222021), we obtain a palindrome (9900009000099).

The spelling of 12022221222120 in words is "twelve trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 221071 442142 453181 663213 884284 906362 1105355 1326426 1359543 1768568 1812724 2210710 2265905 2652852 2719086 3316065 3625448 4421420 4531810 5305704 5438172 6632130 6797715 8842840 9063620 10876344 13264260 13595430 18127240 26528520 27190860 54381720 100185176851 200370353702 300555530553 400740707404 500925884255 601111061106 801481414808 1001851768510 1202222122212 1502777652765 2003703537020 2404444244424 3005555305530 4007407074040 6011110611060 12022221222120