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12722055612160 = 285174733123527
BaseRepresentation
bin1011100100100001010110…
…0110110000011100000000
31200001012211221002200112211
42321020111212300130000
53131414232214042120
643020233123431504
72452065253315216
oct271102546603400
950035757080484
1012722055612160
114065436803344
121515752825594
137138b93804bb
1431da721bccb6
15170de343e25a
hexb92159b0700

12722055612160 has 144 divisors (see below), whose sum is σ = 32272924291776. Its totient is φ = 4788429062144.

The previous prime is 12722055612113. The next prime is 12722055612181. The reversal of 12722055612160 is 6121655022721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102928317 + ... + 103051843.

It is an arithmetic number, because the mean of its divisors is an integer number (224117529804).

Almost surely, 212722055612160 is an apocalyptic number.

12722055612160 is a gapful number since it is divisible by the number (10) 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 12722055612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136462145888).

12722055612160 is an abundant number, since it is smaller than the sum of its proper divisors (19550868679616).

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

12722055612160 is a wasteful number, since it uses less digits than its factorization.

12722055612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128298 (or 128284 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 12722055612160 in words is "twelve trillion, seven hundred twenty-two billion, fifty-five million, six hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 4733 5440 9466 10880 18932 21760 23665 37864 47330 75728 80461 94660 123527 151456 160922 189320 247054 302912 321844 378640 402305 494108 605824 617635 643688 757280 804610 988216 1211648 1235270 1287376 1514560 1609220 1976432 2099959 2470540 2574752 3029120 3218440 3952864 4199918 4941080 5149504 6058240 6436880 7905728 8399836 9882160 10299008 10499795 12873760 15811456 16799672 19764320 20598016 20999590 25747520 31622912 33599344 39528640 41999180 51495040 67198688 79057280 83998360 102990080 134397376 158114560 167996720 268794752 335993440 537589504 584653291 671986880 1169306582 1343973760 2338613164 2687947520 2923266455 4677226328 5846532910 9354452656 9939105947 11693065820 18708905312 19878211894 23386131640 37417810624 39756423788 46772263280 49695529735 74835621248 79512847576 93544526560 99391059470 149671242496 159025695152 187089053120 198782118940 318051390304 374178106240 397564237880 636102780608 748356212480 795128475760 1272205561216 1590256951520 2544411122432 3180513903040 6361027806080 12722055612160