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12512457100 = 225211138571021
BaseRepresentation
bin10111010011100110…
…01111000110001100
31012022000101200100001
423221303033012030
5201111142111400
65425333214044
7622033062523
oct135163170614
935260350301
1012512457100
115340a57240
122512491324
13124538b990
14869ad74ba
154d3749a6a
hex2e9ccf18c

12512457100 has 144 divisors (see below), whose sum is σ = 31967391456. Its totient is φ = 4190976000.

The previous prime is 12512457059. The next prime is 12512457101. The reversal of 12512457100 is 175421521.

It is not an unprimeable number, because it can be changed into a prime (12512457101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12254590 + ... + 12255610.

It is an arithmetic number, because the mean of its divisors is an integer number (221995774).

Almost surely, 212512457100 is an apocalyptic number.

12512457100 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 12512457100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983695728).

12512457100 is an abundant number, since it is smaller than the sum of its proper divisors (19454934356).

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

12512457100 is a wasteful number, since it uses less digits than its factorization.

12512457100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

Adding to 12512457100 its reverse (175421521), we get a palindrome (12687878621).

The spelling of 12512457100 in words is "twelve billion, five hundred twelve million, four hundred fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 857 1021 1100 1300 1430 1714 2042 2860 3428 3575 4084 4285 5105 7150 8570 9427 10210 11141 11231 13273 14300 17140 18854 20420 21425 22282 22462 25525 26546 37708 42850 44564 44924 47135 51050 53092 55705 56155 66365 85700 94270 102100 111410 112310 122551 132730 146003 188540 222820 224620 235675 245102 265460 278525 280775 292006 331825 471350 490204 557050 561550 584012 612755 663650 730015 874997 942700 1114100 1123100 1225510 1327300 1460030 1749994 2451020 2920060 3063775 3499988 3650075 4374985 6127550 7300150 8749970 9624967 11374961 12255100 14600300 17499940 19249934 21874925 22749922 38499868 43749850 45499844 48124835 56874805 87499700 96249670 113749610 125124571 192499340 227499220 240624175 250249142 284374025 481248350 500498284 568748050 625622855 962496700 1137496100 1251245710 2502491420 3128114275 6256228550 12512457100