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12131040200 = 23521719187787
BaseRepresentation
bin10110100110001000…
…01111101111001000
31011022102200200201012
423103010033233020
5144321021241300
65323430143052
7606422066066
oct132304175710
934272620635
1012131040200
115165724064
1224267b1a88
1311b43558c6
148311ad036
154b0007435
hex2d310fbc8

12131040200 has 96 divisors (see below), whose sum is σ = 31435711200. Its totient is φ = 4326589440.

The previous prime is 12131040197. The next prime is 12131040227. The reversal of 12131040200 is 204013121.

12131040200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29294 + ... + 158493.

It is an arithmetic number, because the mean of its divisors is an integer number (327455325).

Almost surely, 212131040200 is an apocalyptic number.

12131040200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131040200 is an abundant number, since it is smaller than the sum of its proper divisors (19304671000).

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

12131040200 is a wasteful number, since it uses less digits than its factorization.

12131040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187839 (or 187830 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12131040200 its reverse (204013121), we get a palindrome (12335053321).

The spelling of 12131040200 in words is "twelve billion, one hundred thirty-one million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 19 20 25 34 38 40 50 68 76 85 95 100 136 152 170 190 200 323 340 380 425 475 646 680 760 850 950 1292 1615 1700 1900 2584 3230 3400 3800 6460 8075 12920 16150 32300 64600 187787 375574 751148 938935 1502296 1877870 3192379 3567953 3755740 4694675 6384758 7135906 7511480 9389350 12769516 14271812 15961895 17839765 18778700 25539032 28543624 31923790 35679530 37557400 60655201 63847580 71359060 79809475 89198825 121310402 127695160 142718120 159618950 178397650 242620804 303276005 319237900 356795300 485241608 606552010 638475800 713590600 1213104020 1516380025 2426208040 3032760050 6065520100 12131040200