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12008872225 = 52723121012
BaseRepresentation
bin10110010111100100…
…01101100100100001
31010222220210220202101
423023302031210201
5144043232402400
65303343450401
7603406505200
oct131362154441
933886726671
1012008872225
115102771499
1223b18b6a01
131194c4cc6c
1481cc8b237
154a442456a
hex2cbc8d921

12008872225 has 81 divisors (see below), whose sum is σ = 18077963193. Its totient is φ = 7890120000.

The previous prime is 12008872159. The next prime is 12008872231. The reversal of 12008872225 is 52227880021.

It is a happy number.

The square root of 12008872225 is 109585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2217373921 + 9791498304 = 47089^2 + 98952^2 .

It is not a de Polignac number, because 12008872225 - 217 = 12008741153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 118899675 + ... + 118899775.

Almost surely, 212008872225 is an apocalyptic number.

12008872225 is the 109585-th square number.

12008872225 is the 54793-rd centered octagonal number.

It is an amenable number.

12008872225 is a deficient number, since it is larger than the sum of its proper divisors (6069090968).

12008872225 is an equidigital number, since it uses as much as digits as its factorization.

12008872225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 12008872225 in words is "twelve billion, eight million, eight hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 101 155 175 217 245 505 707 775 961 1085 1225 1519 2525 3131 3535 4805 4949 5425 6727 7595 10201 15655 17675 21917 24025 24745 33635 37975 47089 51005 71407 78275 97061 109585 123725 153419 168175 235445 255025 316231 357035 485305 499849 547925 679427 767095 1177225 1581155 1785175 2213617 2426525 2499245 3397135 3835475 4755989 7905775 9803161 11068085 12496225 15495319 16985675 23779945 49015805 55340425 68622127 77476595 118899725 245079025 343110635 387382975 480354889 1715553175 2401774445 12008872225