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12130620125 = 531353612309
BaseRepresentation
bin10110100110000101…
…01001001011011101
31011022101220100110212
423103002221023131
5144320414321000
65323413142205
7606415366301
oct132302511335
934271810425
1012130620125
115165467498
12242662a965
1311b4239640
148310ddd01
154aee72c35
hex2d30a92dd

12130620125 has 64 divisors (see below), whose sum is σ = 16890793920. Its totient is φ = 8641152000.

The previous prime is 12130620121. The next prime is 12130620127. The reversal of 12130620125 is 52102603121.

12130620125 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 32 ways, for example, as 12125753689 + 4866436 = 110117^2 + 2206^2 .

It is not a de Polignac number, because 12130620125 - 22 = 12130620121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12130620125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130620121) 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 63 ways as a sum of consecutive naturals, for example, 5252471 + ... + 5254779.

It is an arithmetic number, because the mean of its divisors is an integer number (263918655).

Almost surely, 212130620125 is an apocalyptic number.

It is an amenable number.

12130620125 is a deficient number, since it is larger than the sum of its proper divisors (4760173795).

12130620125 is a wasteful number, since it uses less digits than its factorization.

12130620125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 12130620125 in words is "twelve billion, one hundred thirty million, six hundred twenty thousand, one hundred twenty-five".

Divisors: 1 5 13 25 53 61 65 125 265 305 325 689 793 1325 1525 1625 2309 3233 3445 3965 6625 7625 11545 16165 17225 19825 30017 42029 57725 80825 86125 99125 122377 140849 150085 210145 288625 404125 611885 704245 750425 1050725 1590901 1831037 3059425 3521225 3752125 5253625 7464997 7954505 9155185 15297125 17606125 37324985 39772525 45775925 97044961 186624925 198862625 228879625 485224805 933124625 2426124025 12130620125