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12122120200101 = 337112163973657
BaseRepresentation
bin1011000001100110011010…
…1010110001111110100101
31120220212022101210001001120
42300121212222301332211
53042102100232400401
641440454121444153
72360536303413222
oct260314652617645
946825271701046
1012122120200101
113953a6491470a
121439421640659
1369c159c18312
142dc9dc74c949
151604ce0cd836
hexb0666ab1fa5

12122120200101 has 16 divisors (see below), whose sum is σ = 16599825138624. Its totient is φ = 7862918707584.

The previous prime is 12122120200051. The next prime is 12122120200111. The reversal of 12122120200101 is 10100202122121.

It is not a de Polignac number, because 12122120200101 - 29 = 12122120199589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122120200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11963265 + ... + 12936921.

It is an arithmetic number, because the mean of its divisors is an integer number (1037489071164).

Almost surely, 212122120200101 is an apocalyptic number.

It is an amenable number.

12122120200101 is a deficient number, since it is larger than the sum of its proper divisors (4477704938523).

12122120200101 is a wasteful number, since it uses less digits than its factorization.

12122120200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085860.

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

Adding to 12122120200101 its reverse (10100202122121), we get a palindrome (22222322322222).

The spelling of 12122120200101 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, two hundred thousand, one hundred one".

Divisors: 1 3 37 111 112163 336489 973657 2920971 4150031 12450093 36025309 108075927 109208290091 327624870273 4040706733367 12122120200101