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121010000111 = 721113161910667
BaseRepresentation
bin111000010110011000…
…0100001000011101111
3102120100101122221011222
41300230300201003233
53440312030000421
6131331412133555
711512512013100
oct1605460410357
9376311587158
10121010000111
1147357a99160
121b5520072bb
13b546516180
145bdd5383a7
1532339aecab
hex1c2cc210ef

121010000111 has 48 divisors (see below), whose sum is σ = 165493964160. Its totient is φ = 86978243520.

The previous prime is 121010000071. The next prime is 121010000143. The reversal of 121010000111 is 111000010121.

It is a happy number.

It is not a de Polignac number, because 121010000111 - 26 = 121010000047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11339000 + ... + 11349666.

It is an arithmetic number, because the mean of its divisors is an integer number (3447790920).

Almost surely, 2121010000111 is an apocalyptic number.

121010000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121010000111 is a deficient number, since it is larger than the sum of its proper divisors (44483964049).

121010000111 is a wasteful number, since it uses less digits than its factorization.

121010000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 12317 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121010000111 its reverse (111000010121), we get a palindrome (232010010232).

The spelling of 121010000111 in words is "one hundred twenty-one billion, ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 1619 7007 10667 11333 17809 21047 74669 79331 117337 124663 138671 147329 231517 522683 821359 872641 970697 1031303 1525381 1620619 5749513 6794879 10677667 11344333 17269873 74743669 120889111 189968603 224508349 846223777 1329780221 1571558443 2469591839 9308461547 11000909101 17287142873 121010000111