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12412355412 = 2236732214793
BaseRepresentation
bin10111000111101010…
…11000001101010100
31012001001000222122010
423203311120031110
5200410030333122
65411355504220
7616406165052
oct134365301524
935031028563
1012412355412
11529a4a6376
1224a4a58070
13122a710b02
1485a6bb1d2
154c9a74e0c
hex2e3d58354

12412355412 has 48 divisors (see below), whose sum is σ = 29409694272. Its totient is φ = 4073583360.

The previous prime is 12412355407. The next prime is 12412355531. The reversal of 12412355412 is 21455321421.

12412355412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12412355412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587288 + ... + 2592080.

It is an arithmetic number, because the mean of its divisors is an integer number (612701964).

Almost surely, 212412355412 is an apocalyptic number.

12412355412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12412355412 is an abundant number, since it is smaller than the sum of its proper divisors (16997338860).

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

12412355412 is a wasteful number, since it uses less digits than its factorization.

12412355412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 8086 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

Adding to 12412355412 its reverse (21455321421), we get a palindrome (33867676833).

The spelling of 12412355412 in words is "twelve billion, four hundred twelve million, three hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 402 804 3221 4793 6442 9586 9663 12884 14379 19172 19326 28758 38652 57516 215807 321131 431614 642262 647421 863228 963393 1284524 1294842 1926786 2589684 3853572 15438253 30876506 46314759 61753012 92629518 185259036 1034362951 2068725902 3103088853 4137451804 6206177706 12412355412