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12120909025 = 529722272
BaseRepresentation
bin10110100100111011…
…00110010011100001
31011021201121222100111
423102131212103201
5144310423042100
65322425051321
7606240012121
oct132235462341
934251558314
1012120909025
11515aa34395
122423326b41
1311b2219424
1482dad2c81
154ae1a56ba
hex2d27664e1

12120909025 has 27 divisors (see below), whose sum is σ = 15253667769. Its totient is φ = 9554484480.

The previous prime is 12120909023. The next prime is 12120909079. The reversal of 12120909025 is 52090902121.

The square root of 12120909025 is 110095.

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

12120909025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 445674321 + 11675234704 = 21111^2 + 108052^2 .

It is not a de Polignac number, because 12120909025 - 21 = 12120909023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120909023) 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, 53395962 + ... + 53396188.

Almost surely, 212120909025 is an apocalyptic number.

12120909025 is the 110095-th square number.

12120909025 is the 55048-th centered octagonal number.

It is an amenable number.

12120909025 is a deficient number, since it is larger than the sum of its proper divisors (3132758744).

12120909025 is an frugal number, since it uses more digits than its factorization.

12120909025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 12120909025 in words is "twelve billion, one hundred twenty million, nine hundred nine thousand, twenty-five".

Divisors: 1 5 25 97 227 485 1135 2425 5675 9409 22019 47045 51529 110095 235225 257645 550475 1288225 2135843 4998313 10679215 24991565 53396075 124957825 484836361 2424181805 12120909025