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12132003200 = 275223164837
BaseRepresentation
bin10110100110001111…
…11010110110000000
31011022111111121200212
423103013322312000
5144321243100300
65323502533252
7606433216502
oct132307726600
934274447625
1012132003200
115166221629
122426b97228
1311b4602025
1483137dd72
154b0147935
hex2d31fad80

12132003200 has 96 divisors (see below), whose sum is σ = 31273065360. Its totient is φ = 4641781760.

The previous prime is 12132003181. The next prime is 12132003203. The reversal of 12132003200 is 230023121.

It is a happy number.

12132003200 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 (12132003203) 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 11 ways as a sum of consecutive naturals, for example, 8819 + ... + 156018.

Almost surely, 212132003200 is an apocalyptic number.

12132003200 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 12132003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636532680).

12132003200 is an abundant number, since it is smaller than the sum of its proper divisors (19141062160).

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

12132003200 is a wasteful number, since it uses less digits than its factorization.

12132003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164884 (or 164867 counting only the distinct ones).

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

Adding to 12132003200 its reverse (230023121), we get a palindrome (12362026321).

The spelling of 12132003200 in words is "twelve billion, one hundred thirty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 320 368 400 460 575 640 736 800 920 1150 1472 1600 1840 2300 2944 3200 3680 4600 7360 9200 14720 18400 36800 73600 164837 329674 659348 824185 1318696 1648370 2637392 3296740 3791251 4120925 5274784 6593480 7582502 8241850 10549568 13186960 15165004 16483700 18956255 21099136 26373920 30330008 32967400 37912510 52747840 60660016 65934800 75825020 94781275 105495680 121320032 131869600 151650040 189562550 242640064 263739200 303300080 379125100 485280128 527478400 606600160 758250200 1213200320 1516500400 2426400640 3033000800 6066001600 12132003200