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12132043000 = 2353711157559
BaseRepresentation
bin10110100110010000…
…00100100011111000
31011022111120122021221
423103020010203320
5144321300334000
65323503441424
7606433443520
oct132310044370
934274518257
1012132043000
115166249520
122426bb6274
1311b461718c
14831390680
154b015461a
hex2d32048f8

12132043000 has 128 divisors (see below), whose sum is σ = 35394278400. Its totient is φ = 3781392000.

The previous prime is 12132042997. The next prime is 12132043009. The reversal of 12132043000 is 34023121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132043009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1780 + ... + 155779.

It is an arithmetic number, because the mean of its divisors is an integer number (276517800).

Almost surely, 212132043000 is an apocalyptic number.

12132043000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697139200).

12132043000 is an abundant number, since it is smaller than the sum of its proper divisors (23262235400).

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

12132043000 is a wasteful number, since it uses less digits than its factorization.

12132043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157598 (or 157584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12132043000 its reverse (34023121), we get a palindrome (12166066121).

The spelling of 12132043000 in words is "twelve billion, one hundred thirty-two million, forty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 157559 315118 630236 787795 1102913 1260472 1575590 1733149 2205826 3151180 3466298 3938975 4411652 5514565 6302360 6932596 7877950 8665745 8823304 11029130 12132043 13865192 15755900 17331490 19694875 22058260 24264086 27572825 31511800 34662980 39389750 43328725 44116520 48528172 55145650 60660215 69325960 78779500 86657450 97056344 110291300 121320430 137864125 157559000 173314900 216643625 220582600 242640860 275728250 303301075 346629800 433287250 485281720 551456500 606602150 866574500 1102913000 1213204300 1516505375 1733149000 2426408600 3033010750 6066021500 12132043000