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12710123000 = 2353411512053
BaseRepresentation
bin10111101011001010…
…10001010111111000
31012210210100010222022
423311211101113320
5202012242414000
65501114014012
7626653156121
oct136545212770
935723303868
1012710123000
115432595593
122568717308
131277309753
1488806d048
154e5c92585
hex2f59515f8

12710123000 has 128 divisors (see below), whose sum is σ = 30683802240. Its totient is φ = 4924800000.

The previous prime is 12710122993. The next prime is 12710123029. The reversal of 12710123000 is 32101721.

It is a self number, because there is not a number n which added to its sum of digits gives 12710123000.

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, 6189974 + ... + 6192026.

It is an arithmetic number, because the mean of its divisors is an integer number (239717205).

Almost surely, 212710123000 is an apocalyptic number.

12710123000 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 12710123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341901120).

12710123000 is an abundant number, since it is smaller than the sum of its proper divisors (17973679240).

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

12710123000 is a wasteful number, since it uses less digits than its factorization.

12710123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 12710123000 its reverse (32101721), we get a palindrome (12742224721).

The spelling of 12710123000 in words is "twelve billion, seven hundred ten million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 151 164 200 205 250 302 328 410 500 604 755 820 1000 1025 1208 1510 1640 2050 2053 3020 3775 4100 4106 5125 6040 6191 7550 8200 8212 10250 10265 12382 15100 16424 18875 20500 20530 24764 30200 30955 37750 41000 41060 49528 51325 61910 75500 82120 84173 102650 123820 151000 154775 168346 205300 247640 256625 309550 310003 336692 410600 420865 513250 619100 620006 673384 773875 841730 1026500 1238200 1240012 1547750 1550015 1683460 2053000 2104325 2480024 3095500 3100030 3366920 4208650 6191000 6200060 7750075 8417300 10521625 12400120 12710123 15500150 16834600 21043250 25420246 31000300 38750375 42086500 50840492 62000600 63550615 77500750 84173000 101680984 127101230 155001500 254202460 310003000 317753075 508404920 635506150 1271012300 1588765375 2542024600 3177530750 6355061500 12710123000