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12220011021200 = 2452192672360169
BaseRepresentation
bin1011000111010011000101…
…1010101000001110010000
31121021012222120121222210012
42301310301122220032100
53100203040310134300
641553443501454052
72400603156565133
oct261646132501620
947235876558705
1012220011021200
113991528712454
1214543a0b71328
136a845a774cb8
1430364761421a
15162d0d08b435
hexb1d316a8390

12220011021200 has 120 divisors (see below), whose sum is σ = 30905434797600. Its totient is φ = 4630490772480.

The previous prime is 12220011021193. The next prime is 12220011021277. The reversal of 12220011021200 is 212011002221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203064716 + ... + 203124884.

It is an arithmetic number, because the mean of its divisors is an integer number (257545289980).

Almost surely, 212220011021200 is an apocalyptic number.

12220011021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220011021200 is an abundant number, since it is smaller than the sum of its proper divisors (18685423776400).

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

12220011021200 is a wasteful number, since it uses less digits than its factorization.

12220011021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86929 (or 86918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220011021200 its reverse (212011002221), we get a palindrome (12432022023421).

The spelling of 12220011021200 in words is "twelve trillion, two hundred twenty billion, eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 26723 53446 60169 106892 120338 133615 213784 240676 267230 300845 427568 481352 507737 534460 601690 668075 962704 1015474 1068920 1143211 1203380 1336150 1504225 2030948 2137840 2286422 2406760 2538685 2672300 3008450 4061896 4572844 4813520 5077370 5344600 5716055 6016900 8123792 9145688 10154740 10689200 11432110 12033800 12693425 18291376 20309480 22864220 24067600 25386850 28580275 40618960 45728440 50773700 57160550 91456880 101547400 114321100 203094800 228642200 457284400 1607896187 3215792374 6431584748 8039480935 12863169496 16078961870 25726338992 30550027553 32157923740 40197404675 61100055106 64315847480 80394809350 122200110212 128631694960 152750137765 160789618700 244400220424 305500275530 321579237400 488800440848 611000551060 643158474800 763750688825 1222001102120 1527501377650 2444002204240 3055002755300 6110005510600 12220011021200