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12101000220112 = 244189207265693
BaseRepresentation
bin1011000000010111101111…
…0100011100110111010000
31120211211210111210220002111
42300011323310130313100
53041230322024020422
641423042303155104
72356161031506436
oct260057364346720
946754714726074
1012101000220112
1139460071740a1
1214353085a5a94
1369a1724b573b
142db997806d56
1515eb94d81a77
hexb017bd1cdd0

12101000220112 has 40 divisors (see below), whose sum is σ = 24287394022920. Its totient is φ = 5836601886720.

The previous prime is 12101000220097. The next prime is 12101000220131. The reversal of 12101000220112 is 21102200010121.

12101000220112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 242591711296 + 11858408508816 = 492536^2 + 3443604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12101000220092 and 12101000220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103574463 + ... + 103691230.

It is an arithmetic number, because the mean of its divisors is an integer number (607184850573).

Almost surely, 212101000220112 is an apocalyptic number.

It is an amenable number.

12101000220112 is an abundant number, since it is smaller than the sum of its proper divisors (12186393802808).

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

12101000220112 is a wasteful number, since it uses less digits than its factorization.

12101000220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207265831 (or 207265825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12101000220112 its reverse (21102200010121), we get a palindrome (33203200230233).

The spelling of 12101000220112 in words is "twelve trillion, one hundred one billion, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 41 82 89 164 178 328 356 656 712 1424 3649 7298 14596 29192 58384 207265693 414531386 829062772 1658125544 3316251088 8497893413 16995786826 18446646677 33991573652 36893293354 67983147304 73786586708 135966294608 147573173416 295146346832 756312513757 1512625027514 3025250055028 6050500110056 12101000220112