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120112230321 = 3417157555589
BaseRepresentation
bin110111111011100111…
…1110010111110110001
3102111000211100111120000
41233313033302332301
53431442212332241
6131102341540213
711451331053336
oct1576717627661
9374024314500
10120112230321
1146a3724a456
121b341414669
13b432520945
145b561dc98d
1531cec73eb6
hex1bf73f2fb1

120112230321 has 40 divisors (see below), whose sum is σ = 191191853160. Its totient is φ = 74884372992.

The previous prime is 120112230307. The next prime is 120112230323. The reversal of 120112230321 is 123032211021.

120112230321 is a `hidden beast` number, since 1 + 2 + 0 + 112 + 230 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27185414400 + 92926815921 = 164880^2 + 304839^2 .

It is not a de Polignac number, because 120112230321 - 26 = 120112230257 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120112230294 and 120112230303.

It is not an unprimeable number, because it can be changed into a prime (120112230323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61606 + ... + 493983.

It is an arithmetic number, because the mean of its divisors is an integer number (4779796329).

Almost surely, 2120112230321 is an apocalyptic number.

It is an amenable number.

120112230321 is a deficient number, since it is larger than the sum of its proper divisors (71079622839).

120112230321 is a wasteful number, since it uses less digits than its factorization.

120112230321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555775 (or 555766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120112230321 its reverse (123032211021), we get a palindrome (243144441342).

The spelling of 120112230321 in words is "one hundred twenty billion, one hundred twelve million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 157 459 471 1377 1413 2669 4239 8007 12717 24021 72063 216189 555589 1666767 5000301 9445013 15000903 28335039 45002709 85005117 87227473 255015351 261682419 765046053 785047257 1482867041 2355141771 4448601123 7065425313 13345803369 40037410107 120112230321