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12201100102212 = 2237526312759803
BaseRepresentation
bin1011000110001100101000…
…1111001100101001000100
31121012102011122101202211020
42301203022033030221010
53044400323111232322
641541035155111140
72366333430456420
oct261431217145104
947172148352736
1012201100102212
113984503a2008a
1214507a38a24b0
136a67358c70c8
14302771c27b80
151625a2c4b05c
hexb18ca3cca44

12201100102212 has 48 divisors (see below), whose sum is σ = 32536896924672. Its totient is φ = 3485961102240.

The previous prime is 12201100102201. The next prime is 12201100102231. The reversal of 12201100102212 is 21220100110221.

It is a junction number, because it is equal to n+sod(n) for n = 12201100102191 and 12201100102200.

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 15 ways as a sum of consecutive naturals, for example, 3041103 + ... + 5800905.

It is an arithmetic number, because the mean of its divisors is an integer number (677852019264).

Almost surely, 212201100102212 is an apocalyptic number.

12201100102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201100102212 is an abundant number, since it is smaller than the sum of its proper divisors (20335796822460).

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

12201100102212 is a wasteful number, since it uses less digits than its factorization.

12201100102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812448 (or 2812446 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201100102212 its reverse (21220100110221), we get a palindrome (33421200212433).

The spelling of 12201100102212 in words is "twelve trillion, two hundred one billion, one hundred million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 52631 105262 157893 210524 315786 368417 631572 736834 1105251 1473668 2210502 2759803 4421004 5519606 8279409 11039212 16558818 19318621 33117636 38637242 57955863 77274484 115911726 231823452 145251191693 290502383386 435753575079 581004766772 871507150158 1016758341851 1743014300316 2033516683702 3050275025553 4067033367404 6100550051106 12201100102212