Search a number
-
+
12003120332000 = 25537428682869
BaseRepresentation
bin1010111010101011000110…
…1110010011110011100000
31120111111011002112101121022
42232222301232103303200
53033124342301111000
641310053553345012
72346124340261240
oct256526156236340
946444132471538
1012003120332000
113908549563486
12141a350868168
13690b73cb6195
142d6d50189b20
1515c366d33585
hexaeab1b93ce0

12003120332000 has 96 divisors (see below), whose sum is σ = 33704761970880. Its totient is φ = 4115355532800.

The previous prime is 12003120331991. The next prime is 12003120332003. The reversal of 12003120332000 is 23302130021.

It is a self number, because there is not a number n which added to its sum of digits gives 12003120332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003120332003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214313435 + ... + 214369434.

It is an arithmetic number, because the mean of its divisors is an integer number (351091270530).

Almost surely, 212003120332000 is an apocalyptic number.

12003120332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003120332000 is an abundant number, since it is smaller than the sum of its proper divisors (21701641638880).

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

12003120332000 is an equidigital number, since it uses as much as digits as its factorization.

12003120332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428682901 (or 428682883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12003120332000 its reverse (23302130021), we get a palindrome (12026422462021).

The spelling of 12003120332000 in words is "twelve trillion, three billion, one hundred twenty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 428682869 857365738 1714731476 2143414345 3000780083 3429462952 4286828690 6001560166 6858925904 8573657380 10717071725 12003120332 13717851808 15003900415 17147314760 21434143450 24006240664 30007800830 34294629520 42868286900 48012481328 53585358625 60015601660 68589259040 75019502075 85736573800 96024962656 107170717250 120031203320 150039004150 171473147600 214341434500 240062406640 300078008300 342946295200 375097510375 428682869000 480124813280 600156016600 750195020750 857365738000 1200312033200 1500390041500 1714731476000 2400624066400 3000780083000 6001560166000 12003120332000