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12434213412 = 2232770344839
BaseRepresentation
bin10111001010010001…
…10000101000100100
31012002120011111011200
423211020300220210
5200431124312122
65413500202500
7620063033025
oct134510605044
935076144150
1012434213412
115300875635
1224b0239430
1312320c4b3a
1485d56ac4c
154cb9415ac
hex2e5230a24

12434213412 has 36 divisors (see below), whose sum is σ = 31435709760. Its totient is φ = 4144107312.

The previous prime is 12434213411. The next prime is 12434213419. The reversal of 12434213412 is 21431243421.

12434213412 is a `hidden beast` number, since 1 + 2 + 4 + 34 + 213 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12434213411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254889 + ... + 299727.

It is an arithmetic number, because the mean of its divisors is an integer number (873214160).

Almost surely, 212434213412 is an apocalyptic number.

12434213412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12434213412 is an abundant number, since it is smaller than the sum of its proper divisors (19001496348).

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

12434213412 is a wasteful number, since it uses less digits than its factorization.

12434213412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52552 (or 52547 counting only the distinct ones).

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

Adding to 12434213412 its reverse (21431243421), we get a palindrome (33865456833).

The spelling of 12434213412 in words is "twelve billion, four hundred thirty-four million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 7703 15406 23109 30812 44839 46218 69327 89678 92436 134517 138654 179356 269034 277308 403551 538068 807102 1614204 345394817 690789634 1036184451 1381579268 2072368902 3108553353 4144737804 6217106706 12434213412