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12207931180225 = 52112635272
BaseRepresentation
bin1011000110100110000101…
…1001101100010011000001
31121020001210201021111012121
42301221201121230103001
53100003320340231400
641544125100524241
72366664625616644
oct261514131542301
947201721244177
1012207931180225
113987399989100
121451b8b550681
136a7283c075c1
14302c1d171a5b
151628527e921a
hexb1a6166c4c1

12207931180225 has 27 divisors (see below), whose sum is σ = 16639369448611. Its totient is φ = 8878355644400.

The previous prime is 12207931180217. The next prime is 12207931180273. The reversal of 12207931180225 is 52208113970221.

The square root of 12207931180225 is 3493985.

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

It can be written as a sum of positive squares in only one way, i.e., 4394855224881 + 7813075955344 = 2096391^2 + 2795188^2 .

It is not a de Polignac number, because 12207931180225 - 23 = 12207931180217 is a prime.

It is a super-2 number, since 2×122079311802252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192137412 + ... + 192200938.

Almost surely, 212207931180225 is an apocalyptic number.

12207931180225 is the 3493985-th square number.

12207931180225 is the 1746993-rd centered octagonal number.

It is an amenable number.

12207931180225 is a deficient number, since it is larger than the sum of its proper divisors (4431438268386).

12207931180225 is an frugal number, since it uses more digits than its factorization.

12207931180225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127086 (or 63543 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 12207931180225 in words is "twelve trillion, two hundred seven billion, nine hundred thirty-one million, one hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 63527 317635 698797 1588175 3493985 7686767 17469925 38433835 192169175 4035679729 20178398645 44392477019 100891993225 221962385095 488317247209 1109811925475 2441586236045 12207931180225