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12131100912 = 243729753173
BaseRepresentation
bin10110100110001000…
…11110100011110000
31011022102210202222210
423103010132203300
5144321030212122
65323431332120
7606422441100
oct132304364360
934272722883
1012131100912
115165765737
122426821040
1311b4377428
148311c7200
154b001a40c
hex2d311e8f0

12131100912 has 120 divisors (see below), whose sum is σ = 36831715536. Its totient is φ = 3430232064.

The previous prime is 12131100911. The next prime is 12131100953. The reversal of 12131100912 is 21900113121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131100911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201558 + ... + 254730.

Almost surely, 212131100912 is an apocalyptic number.

12131100912 is a gapful number since it is divisible by the number (12) 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 12131100912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415857768).

12131100912 is an abundant number, since it is smaller than the sum of its proper divisors (24700614624).

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

12131100912 is a wasteful number, since it uses less digits than its factorization.

12131100912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53295 (or 53282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 12131100912 in words is "twelve billion, one hundred thirty-one million, one hundred thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 97 98 112 147 168 194 196 291 294 336 388 392 582 588 679 776 784 1164 1176 1358 1552 2037 2328 2352 2716 4074 4656 4753 5432 8148 9506 10864 14259 16296 19012 28518 32592 38024 53173 57036 76048 106346 114072 159519 212692 228144 319038 372211 425384 638076 744422 850768 1116633 1276152 1488844 2233266 2552304 2605477 2977688 4466532 5157781 5210954 5955376 7816431 8933064 10315562 10421908 15473343 15632862 17866128 20631124 20843816 30946686 31265724 36104467 41262248 41687632 61893372 62531448 72208934 82524496 108313401 123786744 125062896 144417868 216626802 247573488 252731269 288835736 433253604 505462538 577671472 758193807 866507208 1010925076 1516387614 1733014416 2021850152 3032775228 4043700304 6065550456 12131100912