Search a number
-
+
12032608128025 = 52412169212
BaseRepresentation
bin1010111100011000111101…
…0101010100110000011001
31120121022021011000122012211
42233012033111110300121
53034120240140044100
641331412011235121
72351220150354112
oct257061725246031
946538234018184
1012032608128025
11391a000665041
121424000148aa1
136938932123b4
142d854a583209
1515cee09d31ba
hexaf18f554c19

12032608128025 has 27 divisors (see below), whose sum is σ = 15294126887319. Its totient is φ = 9390748896000.

The previous prime is 12032608127983. The next prime is 12032608128061. The reversal of 12032608128025 is 52082180623021.

The square root of 12032608128025 is 3468805.

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

12032608128025 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 13 ways, for example, as 10954491399049 + 1078116728976 = 3309757^2 + 1038324^2 .

It is not a de Polignac number, because 12032608128025 - 223 = 12032599739417 is a prime.

It is a super-2 number, since 2×120326081280252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 711096565 + ... + 711113485.

Almost surely, 212032608128025 is an apocalyptic number.

12032608128025 is the 3468805-th square number.

12032608128025 is the 1734403-rd centered octagonal number.

It is an amenable number.

12032608128025 is a deficient number, since it is larger than the sum of its proper divisors (3261518759294).

12032608128025 is an frugal number, since it uses more digits than its factorization.

12032608128025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33934 (or 16967 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 12032608128025 in words is "twelve trillion, thirty-two billion, six hundred eight million, one hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 16921 42025 84605 423025 693761 3468805 17344025 28444201 142221005 286320241 711105025 1431601205 7158006025 11739129881 58695649405 293478247025 481304325121 2406521625605 12032608128025