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12130139637225 = 32522321892
BaseRepresentation
bin1011000010000100010010…
…1010100000010111101001
31120221122000021202122200100
42300201010222200113221
53042220011221342400
641444301554100013
72361242111456331
oct260410452402751
946848007678610
1012130139637225
1139573aa6584a5
12143aa9b27a609
1369cb374a559c
142dd15d8360c1
151607ed168100
hexb0844aa05e9

12130139637225 has 27 divisors (see below), whose sum is σ = 21726521456133. Its totient is φ = 6469379943840.

The previous prime is 12130139637199. The next prime is 12130139637227. The reversal of 12130139637225 is 52273693103121.

The square root of 12130139637225 is 3482835.

It is a perfect power (a square), and thus also a powerful number.

12130139637225 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 1 + 3 + 9 + 637 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4003124609961 + 8127015027264 = 2000781^2 + 2850792^2 .

It is not a de Polignac number, because 12130139637225 - 237 = 11992700683753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12130139637227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52126431 + ... + 52358619.

Almost surely, 212130139637225 is an apocalyptic number.

12130139637225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12130139637225 is the 3482835-th square number.

12130139637225 is the 1741418-th centered octagonal number.

It is an amenable number.

12130139637225 is a deficient number, since it is larger than the sum of its proper divisors (9596381818908).

12130139637225 is an frugal number, since it uses more digits than its factorization.

12130139637225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464394 (or 232197 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 12130139637225 in words is "twelve trillion, one hundred thirty billion, one hundred thirty-nine million, six hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 232189 696567 1160945 2089701 3482835 5804725 10448505 17414175 52242525 53911731721 161735195163 269558658605 485205585489 808675975815 1347793293025 2426027927445 4043379879075 12130139637225