Search a number
-
+
12132020001132 = 2233234884066023
BaseRepresentation
bin1011000010001011010010…
…1111100001100101101100
31120221210212100000001001000
42300202310233201211230
53042232334110014012
641445212324520300
72361336523344003
oct260426457414554
946853770001030
1012132020001132
113958185011759
12143b324b50090
136a0076c22555
142dd29b46bc3a
151608ad297ddc
hexb08b4be196c

12132020001132 has 48 divisors (see below), whose sum is σ = 32820923681280. Its totient is φ = 3868180289424.

The previous prime is 12132020001019. The next prime is 12132020001133. The reversal of 12132020001132 is 23110002023121.

12132020001132 is a `hidden beast` number, since 12 + 1 + 320 + 200 + 0 + 1 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12132020001133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442030528 + ... + 2442035495.

It is an arithmetic number, because the mean of its divisors is an integer number (683769243360).

Almost surely, 212132020001132 is an apocalyptic number.

12132020001132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132020001132 is an abundant number, since it is smaller than the sum of its proper divisors (20688903680148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12132020001132 is a wasteful number, since it uses less digits than its factorization.

12132020001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884066059 (or 4884066051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132020001132 its reverse (23110002023121), we get a palindrome (35242022024253).

The spelling of 12132020001132 in words is "twelve trillion, one hundred thirty-two billion, twenty million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 4884066023 9768132046 14652198069 19536264092 29304396138 43956594207 58608792276 87913188414 112333518529 131869782621 175826376828 224667037058 263739565242 337000555587 449334074116 527479130484 674001111174 1011001666761 1348002222348 2022003333522 3033005000283 4044006667044 6066010000566 12132020001132