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12322321220 = 2251141712271
BaseRepresentation
bin10110111100111011…
…11011001101000100
31011210202121202221102
423132131323031010
5200214003234340
65354422035232
7614234000516
oct133635731504
934722552842
1012322321220
1152536a1350
12247a878b18
131214b79441
1484c761bb6
154c1bdd215
hex2de77b344

12322321220 has 144 divisors (see below), whose sum is σ = 29439099648. Its totient is φ = 4294080000.

The previous prime is 12322321211. The next prime is 12322321229. The reversal of 12322321220 is 2212322321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12322321211) and next prime (12322321229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12322321192 and 12322321201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322321229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45469685 + ... + 45469955.

It is an arithmetic number, because the mean of its divisors is an integer number (204438192).

Almost surely, 212322321220 is an apocalyptic number.

12322321220 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 12322321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719549824).

12322321220 is an abundant number, since it is smaller than the sum of its proper divisors (17116778428).

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

12322321220 is a wasteful number, since it uses less digits than its factorization.

12322321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12322321220 its reverse (2212322321), we get a palindrome (14534643541).

The spelling of 12322321220 in words is "twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 71 82 110 142 164 205 220 271 284 355 410 451 542 710 781 820 902 1084 1355 1420 1562 1804 2255 2710 2911 2981 3124 3905 4510 5041 5420 5822 5962 7810 9020 10082 11111 11644 11924 14555 14905 15620 19241 20164 22222 25205 29110 29810 32021 38482 44444 50410 55451 55555 58220 59620 64042 76964 96205 100820 110902 111110 122221 128084 160105 192410 206681 211651 221804 222220 244442 277255 320210 384820 413362 423302 488884 554510 611105 640420 788881 826724 846604 1033405 1058255 1109020 1222210 1366111 1577762 2066810 2116510 2273491 2444420 2732222 3155524 3944405 4133620 4233020 4546982 5464444 6830555 7888810 8677691 9093964 11367455 13661110 15027221 15777620 17355382 22734910 27322220 30054442 34710764 43388455 45469820 56010551 60108884 75136105 86776910 112021102 150272210 173553820 224042204 280052755 300544420 560105510 616116061 1120211020 1232232122 2464464244 3080580305 6161160610 12322321220