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12712340760 = 23357101149839
BaseRepresentation
bin10111101011011011…
…01110110100011000
31012210221111211011120
423311231232310120
5202013324401020
65501233325240
7630011053650
oct136555566430
935727454146
1012712340760
11543386a849
122569406820
131277905032
14888489360
154e607e740
hex2f5b6ed18

12712340760 has 128 divisors (see below), whose sum is σ = 44016998400. Its totient is φ = 2876889600.

The previous prime is 12712340713. The next prime is 12712340789. The reversal of 12712340760 is 6704321721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9921 + ... + 159759.

It is an arithmetic number, because the mean of its divisors is an integer number (343882800).

Almost surely, 212712340760 is an apocalyptic number.

12712340760 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 12712340760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008499200).

12712340760 is an abundant number, since it is smaller than the sum of its proper divisors (31304657640).

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

12712340760 is a wasteful number, since it uses less digits than its factorization.

12712340760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149961 (or 149957 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 12712340760 in words is "twelve billion, seven hundred twelve million, three hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5656 6060 7070 8484 10605 12120 14140 16968 21210 28280 42420 84840 149839 299678 449517 599356 749195 899034 1048873 1198712 1498390 1798068 2097746 2247585 2996780 3146619 3596136 4195492 4495170 5244365 5993560 6293238 8390984 8990340 10488730 12586476 15133739 15733095 17980680 20977460 25172952 30267478 31466190 41954920 45401217 60534956 62932380 75668695 90802434 105936173 121069912 125864760 151337390 181604868 211872346 227006085 302674780 317808519 363209736 423744692 454012170 529680865 605349560 635617038 847489384 908024340 1059361730 1271234076 1589042595 1816048680 2118723460 2542468152 3178085190 4237446920 6356170380 12712340760