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12321401664 = 2631113448769
BaseRepresentation
bin10110111100110100…
…11010101101000000
31011210200220001112210
423132122122231000
5200213234323124
65354350222120
7614223120555
oct133632325500
934720801483
1012321401664
115253123490
12247a4b4940
131214916a20
1484c5a2a2c
154c1aaaa29
hex2de69ab40

12321401664 has 112 divisors (see below), whose sum is σ = 38299826880. Its totient is φ = 3446538240.

The previous prime is 12321401663. The next prime is 12321401671. The reversal of 12321401664 is 46610412321.

12321401664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321401663) by changing a digit.

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, 196929 + ... + 251840.

It is an arithmetic number, because the mean of its divisors is an integer number (341962740).

Almost surely, 212321401664 is an apocalyptic number.

It is an amenable number.

12321401664 is an abundant number, since it is smaller than the sum of its proper divisors (25978425216).

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

12321401664 is a wasteful number, since it uses less digits than its factorization.

12321401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448808 (or 448798 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12321401664 its reverse (46610412321), we get a palindrome (58931813985).

The spelling of 12321401664 in words is "twelve billion, three hundred twenty-one million, four hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 448769 897538 1346307 1795076 2692614 3590152 4936459 5385228 5833997 7180304 9872918 10770456 11667994 14360608 14809377 17501991 19745836 21540912 23335988 28721216 29618754 35003982 39491672 43081824 46671976 59237508 64173967 70007964 78983344 86163648 93343952 118475016 128347934 140015928 157966688 186687904 192521901 236950032 256695868 280031856 315933376 373375808 385043802 473900064 513391736 560063712 770087604 947800128 1026783472 1120127424 1540175208 2053566944 3080350416 4107133888 6160700832 12321401664