Search a number
-
+
120212202122112 = 273346990242897
BaseRepresentation
bin11011010101010100010101…
…100110101110101110000000
3120202122011201001111202012110
4123111110111212232232000
5111224024042220401422
61103400420120455320
734215021301361202
oct3325242546565600
9522564631452173
10120212202122112
1135337788199351
1211595b1b31a540
13520cc6772b839
142198431944772
15dd6edde7360c
hex6d55159aeb80

120212202122112 has 64 divisors (see below), whose sum is σ = 319405713181200. Its totient is φ = 40059182505984.

The previous prime is 120212202122099. The next prime is 120212202122119. The reversal of 120212202122112 is 211221202212021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212202122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43789353 + ... + 46453544.

Almost surely, 2120212202122112 is an apocalyptic number.

120212202122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120212202122112 is an abundant number, since it is smaller than the sum of its proper divisors (199193511059088).

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

120212202122112 is an equidigital number, since it uses as much as digits as its factorization.

120212202122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90246383 (or 90246371 counting only the distinct ones).

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

Adding to 120212202122112 its reverse (211221202212021), we get a palindrome (331433404334133).

The spelling of 120212202122112 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3469 6938 10407 13876 20814 27752 41628 55504 83256 111008 166512 222016 333024 444032 666048 1332096 90242897 180485794 270728691 360971588 541457382 721943176 1082914764 1443886352 2165829528 2887772704 4331659056 5775545408 8663318112 11551090816 17326636224 34653272448 313052609693 626105219386 939157829079 1252210438772 1878315658158 2504420877544 3756631316316 5008841755088 7513262632632 10017683510176 15026525265264 20035367020352 30053050530528 40070734040704 60106101061056 120212202122112