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111200012000121 = 31137393123167871
BaseRepresentation
bin11001010010001011000101…
…001101101101101101111001
3112120201121200000211120011110
4121102023011031231231321
5104033400111033000441
61032300325201350533
732264635650312432
oct3122130515555571
9476647600746143
10111200012000121
1132482729883140
121057b383038449
134a081681cb215
141d66175cb0489
15ccc87a4bdb16
hex6522c536db79

111200012000121 has 32 divisors (see below), whose sum is σ = 166159236612096. Its totient is φ = 65555804952000.

The previous prime is 111200012000107. The next prime is 111200012000149. The reversal of 111200012000121 is 121000210002111.

It is not a de Polignac number, because 111200012000121 - 230 = 111198938258297 is a prime.

It is a super-3 number, since 3×1112000120001213 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111200012000097 and 111200012000106.

It is not an unprimeable number, because it can be changed into a prime (111200012000191) 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, 6784185 + ... + 16383686.

It is an arithmetic number, because the mean of its divisors is an integer number (5192476144128).

Almost surely, 2111200012000121 is an apocalyptic number.

111200012000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111200012000121 is a deficient number, since it is larger than the sum of its proper divisors (54959224611975).

111200012000121 is a wasteful number, since it uses less digits than its factorization.

111200012000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23171853.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111200012000121 its reverse (121000210002111), we get a palindrome (232200222002232).

The spelling of 111200012000121 in words is "one hundred eleven trillion, two hundred billion, twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 37 111 407 1221 3931 11793 43241 129723 145447 436341 1599917 4799751 23167871 69503613 254846581 764539743 857211227 2571633681 9429323497 28287970491 91072900901 273218702703 1001801909911 3005405729733 3369697333337 10109092000011 37066670666707 111200012000121