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12121120001011 = 73172245949727
BaseRepresentation
bin1011000001100010101100…
…0011010100101111110011
31120220202201200201122211211
42300120223003110233303
53042043023210013021
641440210552020551
72360502440023000
oct260305303245763
946822650648754
1012121120001011
1139535a127529a
1214391a2691757
1369c02a93b638
142dc94598c8a7
151604713ad3e1
hexb062b0d4bf3

12121120001011 has 48 divisors (see below), whose sum is σ = 15022232064000. Its totient is φ = 9774209391744.

The previous prime is 12121120000967. The next prime is 12121120001021. The reversal of 12121120001011 is 11010002112121.

It is a happy number.

12121120001011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121120001011 - 217 = 12121119869939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121120000982 and 12121120001000.

It is not an unprimeable number, because it can be changed into a prime (12121120001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243728430 + ... + 243778156.

It is an arithmetic number, because the mean of its divisors is an integer number (312963168000).

Almost surely, 212121120001011 is an apocalyptic number.

12121120001011 is a deficient number, since it is larger than the sum of its proper divisors (2901112062989).

12121120001011 is an equidigital number, since it uses as much as digits as its factorization.

12121120001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52241 (or 52210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121120001011 its reverse (11010002112121), we get a palindrome (23131122113132).

The spelling of 12121120001011 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty million, one thousand, eleven".

Divisors: 1 7 17 49 119 289 343 833 2023 2459 5831 14161 17213 41803 49727 99127 120491 292621 348089 710651 843437 845359 2048347 2436623 4974557 5917513 14338429 14371103 17056361 34821899 41422591 100597721 122278693 243753293 289958137 704184047 855950851 2078737781 4929288329 5991655957 14551164467 35338542277 41941591699 101858151269 247369795939 713007058883 1731588571573 12121120001011