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12022320102320 = 2451178717359247
BaseRepresentation
bin1010111011110010101000…
…0111100111101110110000
31120120022201011021210002202
42232330222013213232300
53033433202421233240
641322551055202332
72350404204524063
oct256745207475660
946508634253082
1012022320102320
113915701305060
12142200a8163a8
1369291395a518
142d7c520868da
1515cadc6ce315
hexaef2a1e7bb0

12022320102320 has 80 divisors (see below), whose sum is σ = 30531723130368. Its totient is φ = 4366197553920.

The previous prime is 12022320102271. The next prime is 12022320102323. The reversal of 12022320102320 is 2320102322021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 12022320102292 and 12022320102301.

It is not an unprimeable number, because it can be changed into a prime (12022320102323) 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, 7987064 + ... + 9372183.

Almost surely, 212022320102320 is an apocalyptic number.

12022320102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022320102320 is an abundant number, since it is smaller than the sum of its proper divisors (18509403028048).

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

12022320102320 is a wasteful number, since it uses less digits than its factorization.

12022320102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17360058 (or 17360052 counting only the distinct ones).

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

Adding to 12022320102320 its reverse (2320102322021), we get a palindrome (14342422424341).

The spelling of 12022320102320 in words is "twelve trillion, twenty-two billion, three hundred twenty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 787 880 1574 3148 3935 6296 7870 8657 12592 15740 17314 31480 34628 43285 62960 69256 86570 138512 173140 346280 692560 17359247 34718494 69436988 86796235 138873976 173592470 190951717 277747952 347184940 381903434 694369880 763806868 954758585 1388739760 1527613736 1909517170 3055227472 3819034340 7638068680 13661727389 15276137360 27323454778 54646909556 68308636945 109293819112 136617273890 150279001279 218587638224 273234547780 300558002558 546469095560 601116005116 751395006395 1092938191120 1202232010232 1502790012790 2404464020464 3005580025580 6011160051160 12022320102320