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12101211012011 = 1117389166355677
BaseRepresentation
bin1011000000011000100001…
…1000100011101110101011
31120211212100012110020012212
42300012020120203232223
53041231240004341021
641423115233155335
72356166201302202
oct260061030435653
946755305406185
1012101211012011
113946105158180
1214353670bbb4b
1369a1a707ab84
142db9b77d8239
1515eba861d85b
hexb0188623bab

12101211012011 has 16 divisors (see below), whose sum is σ = 14013802314720. Its totient is φ = 10327360366080.

The previous prime is 12101211011987. The next prime is 12101211012013. The reversal of 12101211012011 is 11021011210121.

It is not a de Polignac number, because 12101211012011 - 242 = 7703164500907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101211012013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83105096 + ... + 83250581.

It is an arithmetic number, because the mean of its divisors is an integer number (875862644670).

Almost surely, 212101211012011 is an apocalyptic number.

12101211012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101211012011 is a deficient number, since it is larger than the sum of its proper divisors (1912591302709).

12101211012011 is a wasteful number, since it uses less digits than its factorization.

12101211012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166356094.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12101211012011 its reverse (11021011210121), we get a palindrome (23122222222132).

The spelling of 12101211012011 in words is "twelve trillion, one hundred one billion, two hundred eleven million, twelve thousand, eleven".

Divisors: 1 11 17 187 389 4279 6613 72743 166355677 1829912447 2828046509 31108511599 64712358353 711835941883 1100110092001 12101211012011