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12303122304 = 273115715101
BaseRepresentation
bin10110111010101001…
…01011111110000000
31011202102111100222110
423131110223332000
5200144044403204
65352454335320
7613611546144
oct133524537600
934672440873
1012303122304
115243878980
12247435a540
131210bb6835
14849da5224
154c0199889
hex2dd52bf80

12303122304 has 128 divisors (see below), whose sum is σ = 35720530560. Its totient is φ = 3720960000.

The previous prime is 12303122291. The next prime is 12303122317. The reversal of 12303122304 is 40322130321.

It is an interprime number because it is at equal distance from previous prime (12303122291) and next prime (12303122317).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2409354 + ... + 2414454.

It is an arithmetic number, because the mean of its divisors is an integer number (279066645).

Almost surely, 212303122304 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 12303122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860265280).

12303122304 is an abundant number, since it is smaller than the sum of its proper divisors (23417408256).

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

12303122304 is a wasteful number, since it uses less digits than its factorization.

12303122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12303122304 its reverse (40322130321), we get a palindrome (52625252625).

The spelling of 12303122304 in words is "twelve billion, three hundred three million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 571 704 1056 1142 1408 1713 2112 2284 3426 4224 4568 5101 6281 6852 9136 10202 12562 13704 15303 18272 18843 20404 25124 27408 30606 36544 37686 40808 50248 54816 56111 61212 73088 75372 81616 100496 109632 112222 122424 150744 163232 168333 200992 219264 224444 244848 301488 326464 336666 401984 448888 489696 602976 652928 673332 803968 897776 979392 1205952 1346664 1795552 1958784 2411904 2693328 2912671 3591104 5386656 5825342 7182208 8738013 10773312 11650684 17476026 21546624 23301368 32039381 34952052 46602736 64078762 69904104 93205472 96118143 128157524 139808208 186410944 192236286 256315048 279616416 372821888 384472572 512630096 559232832 768945144 1025260192 1118465664 1537890288 2050520384 3075780576 4101040768 6151561152 12303122304