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120222030312 = 233217157625609
BaseRepresentation
bin110111111110111001…
…0101001100111101000
3102111022110221220211100
41233331302221213220
53432203314432222
6131121303201400
711454133253046
oct1577562514750
9374273856740
10120222030312
1146a9322484a
121b372146260
13b44c1b5c57
145b66a21396
1531d97124ac
hex1bfdca99e8

120222030312 has 96 divisors (see below), whose sum is σ = 346950793800. Its totient is φ = 37476421632.

The previous prime is 120222030311. The next prime is 120222030317. The reversal of 120222030312 is 213030222021.

It can be written as a sum of positive squares in 4 ways, for example, as 110135041956 + 10086988356 = 331866^2 + 100434^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120222030311) 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 23 ways as a sum of consecutive naturals, for example, 120637 + ... + 504972.

Almost surely, 2120222030312 is an apocalyptic number.

120222030312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120222030312 is an abundant number, since it is smaller than the sum of its proper divisors (226728763488).

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

120222030312 is a wasteful number, since it uses less digits than its factorization.

120222030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625795 (or 625788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120222030312 its reverse (213030222021), we get a palindrome (333252252333).

The spelling of 120222030312 in words is "one hundred twenty billion, two hundred twenty-two million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 157 204 306 314 408 471 612 628 942 1224 1256 1413 1884 2669 2826 3768 5338 5652 8007 10676 11304 16014 21352 24021 32028 48042 64056 96084 192168 625609 1251218 1876827 2502436 3753654 5004872 5630481 7507308 10635353 11260962 15014616 21270706 22521924 31906059 42541412 45043848 63812118 85082824 95718177 98220613 127624236 191436354 196441226 255248472 294661839 382872708 392882452 589323678 765745416 785764904 883985517 1178647356 1669750421 1767971034 2357294712 3339500842 3535942068 5009251263 6679001684 7071884136 10018502526 13358003368 15027753789 20037005052 30055507578 40074010104 60111015156 120222030312