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12412132434 = 23213535916963
BaseRepresentation
bin10111000111101001…
…00001110001010010
31012001000121122202200
423203310201301102
5200410001214214
65411351024030
7616404246012
oct134364416122
935030548680
1012412132434
11529a363899
1224a496b016
13122a663480
1485a65dc42
154c9a2dd09
hex2e3d21c52

12412132434 has 96 divisors (see below), whose sum is σ = 30009994560. Its totient is φ = 3683332224.

The previous prime is 12412132433. The next prime is 12412132471. The reversal of 12412132434 is 43423121421.

12412132434 is a `hidden beast` number, since 1 + 2 + 412 + 1 + 3 + 243 + 4 = 666.

It is a super-2 number, since 2×124121324342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12412132398 and 12412132407.

It is not an unprimeable number, because it can be changed into a prime (12412132433) 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, 723237 + ... + 740199.

It is an arithmetic number, because the mean of its divisors is an integer number (312604110).

Almost surely, 212412132434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15004997280).

12412132434 is an abundant number, since it is smaller than the sum of its proper divisors (17597862126).

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

12412132434 is a wasteful number, since it uses less digits than its factorization.

12412132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17096 (or 17093 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12412132434 its reverse (43423121421), we get a palindrome (55835253855).

The spelling of 12412132434 in words is "twelve billion, four hundred twelve million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 59 78 106 117 118 159 177 234 318 354 477 531 689 767 954 1062 1378 1534 2067 2301 3127 4134 4602 6201 6254 6903 9381 12402 13806 16963 18762 28143 33926 40651 50889 56286 81302 101778 121953 152667 220519 243906 305334 365859 441038 661557 731718 899039 1000817 1323114 1798078 1984671 2001634 2697117 3002451 3969342 5394234 6004902 8091351 9007353 11687507 13010621 16182702 18014706 23375014 26021242 35062521 39031863 53043301 70125042 78063726 105187563 106086602 117095589 159129903 210375126 234191178 318259806 477389709 689562913 954779418 1379125826 2068688739 4137377478 6206066217 12412132434