Search a number
-
+
120212110101200 = 24521323117713481
BaseRepresentation
bin11011010101010100010000…
…000111101100101011010000
3120202122011110122100121020112
4123111110100013230223100
5111224023400141214300
61103400403032300452
734215016103250515
oct3325242007545320
9522564418317215
10120212110101200
1135337740257707
1211595ab4541728
13520cc5164cab0
14219842362d30c
15dd6ed5d47e35
hex6d55101ecad0

120212110101200 has 60 divisors (see below), whose sum is σ = 311025717186828. Its totient is φ = 44386009881600.

The previous prime is 120212110101151. The next prime is 120212110101211. The reversal of 120212110101200 is 2101011212021.

It can be written as a sum of positive squares in 6 ways, for example, as 1420072622224 + 118792037478976 = 1191668^2 + 10899176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11558851541 + ... + 11558861940.

Almost surely, 2120212110101200 is an apocalyptic number.

120212110101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212110101200 is an abundant number, since it is smaller than the sum of its proper divisors (190813607085628).

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

120212110101200 is a wasteful number, since it uses less digits than its factorization.

120212110101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23117713512 (or 23117713501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120212110101200 its reverse (2101011212021), we get a palindrome (122313121313221).

The spelling of 120212110101200 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 23117713481 46235426962 92470853924 115588567405 184941707848 231177134810 300530275253 369883415696 462354269620 577942837025 601060550506 924708539240 1155885674050 1202121101012 1502651376265 1849417078480 2311771348100 2404242202024 3005302752530 4623542696200 4808484404048 6010605505060 7513256881325 9247085392400 12021211010120 15026513762650 24042422020240 30053027525300 60106055050600 120212110101200