Search a number
-
+
12032123328 = 263247444449
BaseRepresentation
bin10110011010010101…
…11010000111000000
31011001112120012021100
423031022322013000
5144120210421303
65305534054400
7604111234521
oct131512720700
934045505240
1012032123328
115114902385
1223b964a400
131199a01104
14821dc0848
154a64b88a3
hex2cd2ba1c0

12032123328 has 84 divisors (see below), whose sum is σ = 35221773600. Its totient is φ = 3925364736.

The previous prime is 12032123317. The next prime is 12032123339. The reversal of 12032123328 is 82332123021.

It is a happy number.

12032123328 is a `hidden beast` number, since 1 + 2 + 0 + 321 + 2 + 332 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12032123317) and next prime (12032123339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195153 + ... + 249296.

Almost surely, 212032123328 is an apocalyptic number.

12032123328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12032123328 is an abundant number, since it is smaller than the sum of its proper divisors (23189650272).

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

12032123328 is a wasteful number, since it uses less digits than its factorization.

12032123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444514 (or 444501 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12032123328 its reverse (82332123021), we get a palindrome (94364246349).

The spelling of 12032123328 in words is "twelve billion, thirty-two million, one hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 3008 3384 4512 6768 9024 13536 27072 444449 888898 1333347 1777796 2666694 3555592 4000041 5333388 7111184 8000082 10666776 14222368 16000164 20889103 21333552 28444736 32000328 41778206 42667104 62667309 64000656 83556412 85334208 125334618 128001312 167112824 188001927 250669236 256002624 334225648 376003854 501338472 668451296 752007708 1002676944 1336902592 1504015416 2005353888 3008030832 4010707776 6016061664 12032123328