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12312301312 = 28413073821
BaseRepresentation
bin10110111011101111…
…01100111100000000
31011210001202201012201
423131313230330000
5200203422120222
65353423202544
7614052556123
oct133567547400
934701681181
1012312301312
115248a78233
122477446454
131212a7b7bc
1484b2b43ba
154c0dae427
hex2dddecf00

12312301312 has 72 divisors (see below), whose sum is σ = 25264551312. Its totient is φ = 5984870400.

The previous prime is 12312301301. The next prime is 12312301409. The reversal of 12312301312 is 21310321321.

It is a self number, because there is not a number n which added to its sum of digits gives 12312301312.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3220362 + ... + 3224182.

It is an arithmetic number, because the mean of its divisors is an integer number (350896546).

Almost surely, 212312301312 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 12312301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632275656).

12312301312 is an abundant number, since it is smaller than the sum of its proper divisors (12952250000).

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

12312301312 is an equidigital number, since it uses as much as digits as its factorization.

12312301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12312301312 its reverse (21310321321), we get a palindrome (33622622633).

The spelling of 12312301312 in words is "twelve billion, three hundred twelve million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 307 328 614 656 1228 1312 2456 2624 3821 4912 5248 7642 9824 10496 12587 15284 19648 25174 30568 39296 50348 61136 78592 100696 122272 156661 201392 244544 313322 402784 489088 626644 805568 978176 1173047 1253288 1611136 2346094 2506576 3222272 4692188 5013152 9384376 10026304 18768752 20052608 37537504 40105216 48094927 75075008 96189854 150150016 192379708 300300032 384759416 769518832 1539037664 3078075328 6156150656 12312301312