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12132404200 = 2352722338861
BaseRepresentation
bin10110100110010010…
…11100101111101000
31011022112020222202201
423103021130233220
5144321343413300
65323515305544
7606436506550
oct132311345750
934275228681
1012132404200
115166475934
12242714b2b4
1311b47126c7
14831446160
154b01c666a
hex2d325cbe8

12132404200 has 96 divisors (see below), whose sum is σ = 32382927360. Its totient is φ = 4140921600.

The previous prime is 12132404183. The next prime is 12132404213. The reversal of 12132404200 is 240423121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292770 + ... + 331630.

It is an arithmetic number, because the mean of its divisors is an integer number (337322160).

Almost surely, 212132404200 is an apocalyptic number.

12132404200 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 12132404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191463680).

12132404200 is an abundant number, since it is smaller than the sum of its proper divisors (20250523160).

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

12132404200 is a wasteful number, since it uses less digits than its factorization.

12132404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39107 (or 39098 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12132404200 its reverse (240423121), we get a palindrome (12372827321).

The spelling of 12132404200 in words is "twelve billion, one hundred thirty-two million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 223 280 350 446 700 892 1115 1400 1561 1784 2230 3122 4460 5575 6244 7805 8920 11150 12488 15610 22300 31220 38861 39025 44600 62440 77722 78050 155444 156100 194305 272027 310888 312200 388610 544054 777220 971525 1088108 1360135 1554440 1943050 2176216 2720270 3886100 5440540 6800675 7772200 8666003 10881080 13601350 17332006 27202700 34664012 43330015 54405400 60662021 69328024 86660030 121324042 173320060 216650075 242648084 303310105 346640120 433300150 485296168 606620210 866600300 1213240420 1516550525 1733200600 2426480840 3033101050 6066202100 12132404200