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12057014442520 = 2352349512647031
BaseRepresentation
bin1010111101110011111000…
…0100000001101000011000
31120200122021001210212121201
42233130332010001220120
53040020231144130040
641350525503243544
72353043025536005
oct257347604015030
946618231725551
1012057014442520
113929395366393
1214288918a95b4
13695c827511c8
142d97c3b488ac
1515d96d4d3a9a
hexaf73e101a18

12057014442520 has 64 divisors (see below), whose sum is σ = 28313501322240. Its totient is φ = 4612185072000.

The previous prime is 12057014442449. The next prime is 12057014442521. The reversal of 12057014442520 is 2524441075021.

It is a self number, because there is not a number n which added to its sum of digits gives 12057014442520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12057014442521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3231405 + ... + 5878435.

It is an arithmetic number, because the mean of its divisors is an integer number (442398458160).

Almost surely, 212057014442520 is an apocalyptic number.

12057014442520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12057014442520 is an abundant number, since it is smaller than the sum of its proper divisors (16256486879720).

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

12057014442520 is a wasteful number, since it uses less digits than its factorization.

12057014442520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652016 (or 2652012 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 12057014442520 in words is "twelve trillion, fifty-seven billion, fourteen million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 4951 9902 19804 24755 39608 49510 99020 113873 198040 227746 455492 569365 910984 1138730 2277460 2647031 4554920 5294062 10588124 13235155 21176248 26470310 52940620 60881713 105881240 121763426 243526852 304408565 487053704 608817130 1217634260 2435268520 13105450481 26210900962 52421801924 65527252405 104843603848 131054504810 262109009620 301425361063 524218019240 602850722126 1205701444252 1507126805315 2411402888504 3014253610630 6028507221260 12057014442520