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12002122011220 = 225114312591007723
BaseRepresentation
bin1010111010100111011000…
…1110000001001001010100
31120111101120112000102221121
42232221312032001021110
53033120321213324340
641305410532053324
72346060525553105
oct256516616011124
946441515012847
1012002122011220
113908086a87290
12141a112464244
13690a45216423
142d6c977583ac
1515c30938494a
hexaea76381254

12002122011220 has 96 divisors (see below), whose sum is σ = 28157582154240. Its totient is φ = 4259519967360.

The previous prime is 12002122011161. The next prime is 12002122011247. The reversal of 12002122011220 is 2211022120021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12002122011194 and 12002122011203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11406279 + ... + 12414001.

It is an arithmetic number, because the mean of its divisors is an integer number (293308147440).

Almost surely, 212002122011220 is an apocalyptic number.

12002122011220 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 12002122011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078791077120).

12002122011220 is an abundant number, since it is smaller than the sum of its proper divisors (16155460143020).

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

12002122011220 is a wasteful number, since it uses less digits than its factorization.

12002122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009045 (or 1009043 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12002122011220 its reverse (2211022120021), we get a palindrome (14213144131241).

The spelling of 12002122011220 in words is "twelve trillion, two billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1259 1892 2365 2518 4730 5036 6295 9460 12590 13849 25180 27698 54137 55396 69245 108274 138490 216548 270685 276980 541370 595507 1007723 1082740 1191014 2015446 2382028 2977535 4030892 5038615 5955070 10077230 11084953 11910140 20154460 22169906 43332089 44339812 55424765 86664178 110849530 173328356 216660445 221699060 433320890 476652979 866641780 953305958 1268723257 1906611916 2383264895 2537446514 4766529790 5074893028 6343616285 9533059580 12687232570 13955955827 25374465140 27911911654 54555100051 55823823308 69779779135 109110200102 139559558270 218220400204 272775500255 279119116540 545551000510 600106100561 1091102001020 1200212201122 2400424402244 3000530502805 6001061005610 12002122011220