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12120812640 = 253258417231
BaseRepresentation
bin10110100100111010…
…01110110001100000
31011021201110002010200
423102131032301200
5144310412001030
65322423025200
7606236131116
oct132235166140
934251402120
1012120812640
11515a978a32
12242329b200
1311b21b45b1
1482daa9ab6
154ae186d60
hex2d274ec60

12120812640 has 72 divisors (see below), whose sum is σ = 41362278048. Its totient is φ = 3232216320.

The previous prime is 12120812551. The next prime is 12120812651. The reversal of 12120812640 is 4621802121.

12120812640 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 8 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4207176 + ... + 4210055.

It is an arithmetic number, because the mean of its divisors is an integer number (574476084).

Almost surely, 212120812640 is an apocalyptic number.

12120812640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120812640 is an abundant number, since it is smaller than the sum of its proper divisors (29241465408).

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

12120812640 is a wasteful number, since it uses less digits than its factorization.

12120812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417252 (or 8417241 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12120812640 in words is "twelve billion, one hundred twenty million, eight hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8417231 16834462 25251693 33668924 42086155 50503386 67337848 75755079 84172310 101006772 126258465 134675696 151510158 168344620 202013544 252516930 269351392 303020316 336689240 378775395 404027088 505033860 606040632 673378480 757550790 808054176 1010067720 1212081264 1346756960 1515101580 2020135440 2424162528 3030203160 4040270880 6060406320 12120812640