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12700128720 = 2435677431063
BaseRepresentation
bin10111101001111110…
…01001010111010000
31012210002112101101210
423310333021113100
5202002213104340
65500115500120
7626502212226
oct136477112720
935702471353
1012700128720
115427989754
1225652b7640
13127521a686
148869cab16
154e4e6b180
hex2f4fc95d0

12700128720 has 160 divisors (see below), whose sum is σ = 40049436672. Its totient is φ = 3328528896.

The previous prime is 12700128719. The next prime is 12700128731. The reversal of 12700128720 is 2782100721.

It is a happy number.

It is a super-2 number, since 2×127001287202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11946909 + ... + 11947971.

Almost surely, 212700128720 is an apocalyptic number.

12700128720 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 12700128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024718336).

12700128720 is an abundant number, since it is smaller than the sum of its proper divisors (27349307952).

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

12700128720 is a wasteful number, since it uses less digits than its factorization.

12700128720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 12700128720 in words is "twelve billion, seven hundred million, one hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 743 804 1005 1063 1072 1340 1486 1608 2010 2126 2229 2680 2972 3189 3216 3715 4020 4252 4458 5315 5360 5944 6378 7430 8040 8504 8916 10630 11145 11888 12756 14860 15945 16080 17008 17832 21260 22290 25512 29720 31890 35664 42520 44580 49781 51024 59440 63780 71221 85040 89160 99562 127560 142442 149343 178320 199124 213663 248905 255120 284884 298686 356105 398248 427326 497810 569768 597372 712210 746715 789809 796496 854652 995620 1068315 1139536 1194744 1424420 1493430 1579618 1709304 1991240 2136630 2369427 2389488 2848840 2986860 3159236 3418608 3949045 3982480 4273260 4738854 5697680 5973720 6318472 7898090 8546520 9477708 11847135 11947440 12636944 15796180 17093040 18955416 23694270 31592360 37910832 47388540 52917203 63184720 94777080 105834406 158751609 189554160 211668812 264586015 317503218 423337624 529172030 635006436 793758045 846675248 1058344060 1270012872 1587516090 2116688120 2540025744 3175032180 4233376240 6350064360 12700128720