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20121212200101 = 317717376120697
BaseRepresentation
bin1001001001100110101011…
…01101001010010010100101
32122020120100212121021002020
410210303111231022102211
510114131220310400401
6110443320212133353
74144465252514235
oct444632555122245
978216325537066
1020121212200101
1164583a3801021
12230b761307259
13b2c56467466c
144d7c2c58bcc5
1524d5eb486d36
hex124cd5b4a4a5

20121212200101 has 32 divisors (see below), whose sum is σ = 29201117683968. Its totient is φ = 12276745850880.

The previous prime is 20121212200097. The next prime is 20121212200121. The reversal of 20121212200101 is 10100221212102.

It is not a de Polignac number, because 20121212200101 - 22 = 20121212200097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121212200121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37796016 + ... + 38324681.

It is an arithmetic number, because the mean of its divisors is an integer number (912534927624).

Almost surely, 220121212200101 is an apocalyptic number.

It is an amenable number.

20121212200101 is a deficient number, since it is larger than the sum of its proper divisors (9079905483867).

20121212200101 is a wasteful number, since it uses less digits than its factorization.

20121212200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76120861.

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

Adding to 20121212200101 its reverse (10100221212102), we get a palindrome (30221433412203).

The spelling of 20121212200101 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, two hundred thousand, one hundred one".

Divisors: 1 3 17 51 71 73 213 219 1207 1241 3621 3723 5183 15549 88111 264333 76120697 228362091 1294051849 3882155547 5404569487 5556810881 16213708461 16670432643 91877681279 94465784977 275633043837 283397354931 394533572551 1183600717653 6707070733367 20121212200101