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12404512330101 = 3279797103321191
BaseRepresentation
bin1011010010000010011010…
…0011010001000101110101
31121220212012210101121000100
42310200212203101011311
53111213420124030401
642214315421104313
72420124244046613
oct264404643210565
947825183347010
1012404512330101
113a527a6909631
1214840b20b8099
136bc981b30a28
1430c54b17a6b3
15167a0aa40b86
hexb48268d1175

12404512330101 has 48 divisors (see below), whose sum is σ = 18185645237760. Its totient is φ = 8146472106240.

The previous prime is 12404512330069. The next prime is 12404512330187. The reversal of 12404512330101 is 10103321540421.

12404512330101 is a `hidden beast` number, since 1 + 2 + 40 + 4 + 512 + 3 + 3 + 0 + 101 = 666.

It is not a de Polignac number, because 12404512330101 - 25 = 12404512330069 is a prime.

It is a super-2 number, since 2×124045123301012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404512330801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 585356416 + ... + 585377606.

It is an arithmetic number, because the mean of its divisors is an integer number (378867609120).

Almost surely, 212404512330101 is an apocalyptic number.

It is an amenable number.

12404512330101 is a deficient number, since it is larger than the sum of its proper divisors (5781132907659).

12404512330101 is a wasteful number, since it uses less digits than its factorization.

12404512330101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23106 (or 23103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12404512330101 its reverse (10103321540421), we get a palindrome (22507833870522).

The spelling of 12404512330101 in words is "twelve trillion, four hundred four billion, five hundred twelve million, three hundred thirty thousand, one hundred one".

Divisors: 1 3 9 79 237 711 797 1033 2391 3099 7173 9297 21191 62963 63573 81607 188889 190719 244821 566667 734463 823301 1674089 2469903 5022267 7409709 15066801 16889227 21890303 50667681 65040779 65670909 152003043 195122337 197012727 585367011 1334248933 1729333937 4002746799 5188001811 12008240397 15564005433 17446571491 52339714473 157019143419 1378279147789 4134837443367 12404512330101