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12122101100122 = 213412277355537
BaseRepresentation
bin1011000001100110010110…
…0001111010111001011010
31120220212021001211122210221
42300121211201322321122
53042102030340200442
641440452200230254
72360535652153156
oct260314541727132
946825231748727
1012122101100122
113953a55059602
12143941716b38a
1369c155c8b760
142dc9d9dba066
151604cc5a9467
hexb066587ae5a

12122101100122 has 24 divisors (see below), whose sum is σ = 20071110862908. Its totient is φ = 5458356948480.

The previous prime is 12122101100099. The next prime is 12122101100189. The reversal of 12122101100122 is 22100110122121.

12122101100122 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 6 ways, for example, as 1161439445401 + 10960661654721 = 1077701^2 + 3310689^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12122101100096 and 12122101100105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138634063 + ... + 138721474.

Almost surely, 212122101100122 is an apocalyptic number.

12122101100122 is a deficient number, since it is larger than the sum of its proper divisors (7949009762786).

12122101100122 is a wasteful number, since it uses less digits than its factorization.

12122101100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277355634 (or 277355593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122101100122 its reverse (22100110122121), we get a palindrome (34222211222243).

The spelling of 12122101100122 in words is "twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 13 26 41 82 533 1066 1681 3362 21853 43706 277355537 554711074 3605621981 7211243962 11371577017 22743154034 147830501221 295661002442 466234657697 932469315394 6061050550061 12122101100122