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12322324320 = 2535193133013
BaseRepresentation
bin10110111100111011…
…11011111101100000
31011210202121221012020
423132131323331200
5200214003334240
65354422101440
7614234012535
oct133635737540
934722557166
1012322324320
1152536a3709
12247a87a880
131214b7a987
1484c762d8c
154c1bde0d0
hex2de77bf60

12322324320 has 96 divisors (see below), whose sum is σ = 39016730592. Its totient is φ = 3268902912.

The previous prime is 12322324303. The next prime is 12322324321. The reversal of 12322324320 is 2342322321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322324321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26134 + ... + 159146.

It is an arithmetic number, because the mean of its divisors is an integer number (406424277).

Almost surely, 212322324320 is an apocalyptic number.

12322324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508365296).

12322324320 is an abundant number, since it is smaller than the sum of its proper divisors (26694406272).

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

12322324320 is a wasteful number, since it uses less digits than its factorization.

12322324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133224 (or 133216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12322324320 its reverse (2342322321), we get a palindrome (14664646641).

The spelling of 12322324320 in words is "twelve billion, three hundred twenty-two million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 15440 18528 23160 30880 46320 92640 133013 266026 399039 532052 665065 798078 1064104 1330130 1596156 1995195 2128208 2660260 3192312 3990390 4256416 5320520 6384624 7980780 10641040 12769248 15961560 21282080 25671509 31923120 51343018 63846240 77014527 102686036 128357545 154029054 205372072 256715090 308058108 385072635 410744144 513430180 616116216 770145270 821488288 1026860360 1232232432 1540290540 2053720720 2464464864 3080581080 4107441440 6161162160 12322324320