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12056871486420 = 22325149449547781
BaseRepresentation
bin1010111101110011010110…
…0010101100001111010100
31120200121220002210221201100
42233130311202230033110
53040014433100031140
641350503355230100
72353036341454245
oct257346542541724
946617802727640
1012056871486420
1139293216a5352
121428851a48330
13695c5bc4a4b7
142d97acb74ccc
1515d960b96530
hexaf7358ac3d4

12056871486420 has 72 divisors (see below), whose sum is σ = 36817963345800. Its totient is φ = 3193587429120.

The previous prime is 12056871486391. The next prime is 12056871486431. The reversal of 12056871486420 is 2468417865021.

12056871486420 is a `hidden beast` number, since 1 + 2 + 0 + 56 + 8 + 71 + 486 + 42 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 239461465104 + 11817410021316 = 489348^2 + 3437646^2 .

It is a super-3 number, since 3×120568714864203 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 224747071 + ... + 224800710.

It is an arithmetic number, because the mean of its divisors is an integer number (511360602025).

Almost surely, 212056871486420 is an apocalyptic number.

12056871486420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12056871486420 is an abundant number, since it is smaller than the sum of its proper divisors (24761091859380).

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

12056871486420 is a wasteful number, since it uses less digits than its factorization.

12056871486420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449547945 (or 449547940 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12056871486420 in words is "twelve trillion, fifty-six billion, eight hundred seventy-one million, four hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 180 298 447 596 745 894 1341 1490 1788 2235 2682 2980 4470 5364 6705 8940 13410 26820 449547781 899095562 1348643343 1798191124 2247738905 2697286686 4045930029 4495477810 5394573372 6743216715 8091860058 8990955620 13486433430 16183720116 20229650145 26972866860 40459300290 66982619369 80918600580 133965238738 200947858107 267930477476 334913096845 401895716214 602843574321 669826193690 803791432428 1004739290535 1205687148642 1339652387380 2009478581070 2411374297284 3014217871605 4018957162140 6028435743210 12056871486420