Search a number
-
+
12312003001232 = 2411271739349303
BaseRepresentation
bin1011001100101001110010…
…0100001011101110010000
31121121000102122202202210202
42303022130210023232100
53103204440232014412
642104020041114332
72410340624531504
oct263123444135620
947530378682722
1012312003001232
113a175447a2630
12146a194a889a8
136b402b19408c
14307c92cc0304
151653e42443c2
hexb329c90bb90

12312003001232 has 80 divisors (see below), whose sum is σ = 26154542192640. Its totient is φ = 5568153321600.

The previous prime is 12312003001223. The next prime is 12312003001253. The reversal of 12312003001232 is 23210030021321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35072693 + ... + 35421995.

It is an arithmetic number, because the mean of its divisors is an integer number (326931777408).

Almost surely, 212312003001232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312003001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077271096320).

12312003001232 is an abundant number, since it is smaller than the sum of its proper divisors (13842539191408).

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

12312003001232 is a wasteful number, since it uses less digits than its factorization.

12312003001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350332 (or 350326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12312003001232 its reverse (23210030021321), we get a palindrome (35522033022553).

The spelling of 12312003001232 in words is "twelve trillion, three hundred twelve billion, three million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 271 542 739 1084 1478 2168 2956 2981 4336 5912 5962 8129 11824 11924 16258 23848 32516 47696 65032 130064 200269 349303 400538 698606 801076 1397212 1602152 2202959 2794424 3204304 3842333 4405918 5588848 7684666 8811836 15369332 17623672 30738664 35247344 61477328 94661113 189322226 258134917 378644452 516269834 757288904 1032539668 1041272243 1514577808 2065079336 2082544486 2839484087 4130158672 4165088972 5678968174 8330177944 11357936348 16660355888 22715872696 45431745392 69954562507 139909125014 279818250028 559636500056 769500187577 1119273000112 1539000375154 3078000750308 6156001500616 12312003001232