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12102332000 = 255311275053
BaseRepresentation
bin10110100010101101…
…01110111001100000
31011020102200011110112
423101112232321200
5144241144111000
65320522550452
7605623060523
oct132126567140
934212604415
1012102332000
1151504a6180
122419068428
1311ab4138c5
1482b458bba
154ac736235
hex2d15aee60

12102332000 has 96 divisors (see below), whose sum is σ = 32438768544. Its totient is φ = 4400832000.

The previous prime is 12102331999. The next prime is 12102332003. The reversal of 12102332000 is 23320121.

It is a happy number.

12102332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102332003) 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 15 ways as a sum of consecutive naturals, for example, 93527 + ... + 181526.

It is an arithmetic number, because the mean of its divisors is an integer number (337903839).

Almost surely, 212102332000 is an apocalyptic number.

12102332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102332000 is an abundant number, since it is smaller than the sum of its proper divisors (20336436544).

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

12102332000 is a wasteful number, since it uses less digits than its factorization.

12102332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275089 (or 275071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12102332000 its reverse (23320121), we get a palindrome (12125652121).

The spelling of 12102332000 in words is "twelve billion, one hundred two million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 275053 550106 1100212 1375265 2200424 2750530 3025583 4400848 5501060 6051166 6876325 8801696 11002120 12102332 13752650 15127915 22004240 24204664 27505300 30255830 34381625 44008480 48409328 55010600 60511660 68763250 75639575 96818656 110021200 121023320 137526500 151279150 220042400 242046640 275053000 302558300 378197875 484093280 550106000 605116600 756395750 1100212000 1210233200 1512791500 2420466400 3025583000 6051166000 12102332000