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12122121101211 = 331140815222563
BaseRepresentation
bin1011000001100110011010…
…1110001101111110011011
31120220212022110110211011000
42300121212232031332123
53042102101000214321
641440454153040043
72360536314155322
oct260314656157633
946825273424130
1012122121101211
113953a6537a730
1214394219b6023
1369c15a172514
142dc9dc9050b9
151604ce20a826
hexb0666b8df9b

12122121101211 has 16 divisors (see below), whose sum is σ = 19591306830720. Its totient is φ = 7346740061160.

The previous prime is 12122121101197. The next prime is 12122121101219. The reversal of 12122121101211 is 11210112122121.

It is a happy number.

12122121101211 is a `hidden beast` number, since 1 + 21 + 221 + 211 + 0 + 1 + 211 = 666.

It is not a de Polignac number, because 12122121101211 - 215 = 12122121068443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122121101219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20407610985 + ... + 20407611578.

It is an arithmetic number, because the mean of its divisors is an integer number (1224456676920).

Almost surely, 212122121101211 is an apocalyptic number.

12122121101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122121101211 is a deficient number, since it is larger than the sum of its proper divisors (7469185729509).

12122121101211 is a wasteful number, since it uses less digits than its factorization.

12122121101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40815222583 (or 40815222577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122121101211 its reverse (11210112122121), we get a palindrome (23332233223332).

The spelling of 12122121101211 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 40815222563 122445667689 367337003067 448967448193 1102011009201 1346902344579 4040707033737 12122121101211