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12121120011 = 3711137095693
BaseRepresentation
bin10110100100111100…
…11001110100001011
31011021202000200202210
423102132121310023
5144311001320021
65322433400203
7606241551210
oct132236316413
934252020683
1012121120011
115160068960
122423409063
1311b2291480
1482db49b07
154ae1e7e76
hex2d2799d0b

12121120011 has 64 divisors (see below), whose sum is σ = 21733770240. Its totient is φ = 5803107840.

The previous prime is 12121120009. The next prime is 12121120127. The reversal of 12121120011 is 11002112121.

It is not a de Polignac number, because 12121120011 - 21 = 12121120009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121020011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2126281 + ... + 2131973.

It is an arithmetic number, because the mean of its divisors is an integer number (339590160).

Almost surely, 212121120011 is an apocalyptic number.

12121120011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12121120011 is a deficient number, since it is larger than the sum of its proper divisors (9612650229).

12121120011 is a wasteful number, since it uses less digits than its factorization.

12121120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6436.

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

Adding to 12121120011 its reverse (11002112121), we get a palindrome (23123232132).

The spelling of 12121120011 in words is "twelve billion, one hundred twenty-one million, one hundred twenty thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 709 1001 2127 3003 4963 5693 7799 9217 14889 17079 23397 27651 39851 54593 62623 64519 74009 101387 119553 163779 187869 193557 222027 304161 438361 518063 709709 814099 1315083 1554189 2129127 2442297 4036337 5698693 12109011 17096079 28254359 44399707 52472381 84763077 133199121 157417143 310797949 367306667 577196191 932393847 1101920001 1731588573 4040373337 12121120011