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12025703961 = 341217121993
BaseRepresentation
bin10110011001100100…
…11010111000011001
31011001002111001120000
423030302122320121
5144112040011321
65305144323213
7604002540255
oct131462327031
934032431500
1012025703961
115111218417
1223b7473509
13119859427b
148211cd265
154a5b4b826
hex2ccc9ae19

12025703961 has 20 divisors (see below), whose sum is σ = 17979231732. Its totient is φ = 8010482688.

The previous prime is 12025703959. The next prime is 12025703981. The reversal of 12025703961 is 16930752021.

12025703961 is a `hidden beast` number, since 1 + 20 + 2 + 570 + 3 + 9 + 61 = 666.

12025703961 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 2 ways, for example, as 4152513600 + 7873190361 = 64440^2 + 88731^2 .

It is not a de Polignac number, because 12025703961 - 21 = 12025703959 is a prime.

It is a super-2 number, since 2×120257039612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12025703981) 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 19 ways as a sum of consecutive naturals, for example, 37581 + ... + 159573.

Almost surely, 212025703961 is an apocalyptic number.

It is an amenable number.

12025703961 is a deficient number, since it is larger than the sum of its proper divisors (5953527771).

12025703961 is a wasteful number, since it uses less digits than its factorization.

12025703961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123222 (or 123213 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12025703961 in words is "twelve billion, twenty-five million, seven hundred three thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 1217 3651 10953 32859 98577 121993 365979 1097937 3293811 9881433 148465481 445396443 1336189329 4008567987 12025703961