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12213023302320 = 2435335915149627
BaseRepresentation
bin1011000110111001000011…
…1010100110001010110000
31121020112221121000002112020
42301232100322212022300
53100044232431133240
641550330242431440
72400235050135651
oct261562072461260
947215847002466
1012213023302320
113989572296875
121452b70962580
136a78b5b7bcb9
14303183573528
15162a4e89b0d0
hexb1b90ea62b0

12213023302320 has 80 divisors (see below), whose sum is σ = 37871646059520. Its totient is φ = 3255836422912.

The previous prime is 12213023302309. The next prime is 12213023302321. The reversal of 12213023302320 is 2320332031221.

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

It is a super-2 number, since 2×122130233023202 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12213023302321) 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, 6768654 + ... + 8380973.

It is an arithmetic number, because the mean of its divisors is an integer number (473395575744).

Almost surely, 212213023302320 is an apocalyptic number.

12213023302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213023302320 is an abundant number, since it is smaller than the sum of its proper divisors (25658622757200).

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

12213023302320 is a wasteful number, since it uses less digits than its factorization.

12213023302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15153002 (or 15152996 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12213023302320 its reverse (2320332031221), we get a palindrome (14533355333541).

The spelling of 12213023302320 in words is "twelve trillion, two hundred thirteen billion, twenty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3359 6718 10077 13436 16795 20154 26872 33590 40308 50385 53744 67180 80616 100770 134360 161232 201540 268720 403080 806160 15149627 30299254 45448881 60598508 75748135 90897762 121197016 151496270 181795524 227244405 242394032 302992540 363591048 454488810 605985080 727182096 908977620 1211970160 1817955240 3635910480 50887597093 101775194186 152662791279 203550388372 254437985465 305325582558 407100776744 508875970930 610651165116 763313956395 814201553488 1017751941860 1221302330232 1526627912790 2035503883720 2442604660464 3053255825580 4071007767440 6106511651160 12213023302320