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12111201022100 = 2252162177468213
BaseRepresentation
bin1011000000111101101111…
…0101011011000010010100
31120212211010102102022202112
42300033123311123002110
53041412214430201400
641431450421530152
72360001565056065
oct260173365330224
946784112368675
1012111201022100
11394a371269664
121437294873958
1369b10997b24b
142dc2844ba56c
151600906a6835
hexb03dbd5b094

12111201022100 has 36 divisors (see below), whose sum is σ = 26282930339484. Its totient is φ = 4844181031680.

The previous prime is 12111201022051. The next prime is 12111201022133. The reversal of 12111201022100 is 122010211121.

12111201022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1412950632976 + 10698250389124 = 1188676^2 + 3270818^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2112407 + ... + 5355806.

It is an arithmetic number, because the mean of its divisors is an integer number (730081398319).

Almost surely, 212111201022100 is an apocalyptic number.

12111201022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111201022100 is an abundant number, since it is smaller than the sum of its proper divisors (14171729317384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12111201022100 is a wasteful number, since it uses less digits than its factorization.

12111201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484444 (or 7484437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12111201022100 its reverse (122010211121), we get a palindrome (12233211233221).

The spelling of 12111201022100 in words is "twelve trillion, one hundred eleven billion, two hundred one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 16217 32434 64868 81085 162170 324340 405425 810850 1621700 7468213 14936426 29872852 37341065 74682130 149364260 186705325 373410650 746821300 121112010221 242224020442 484448040884 605560051105 1211120102210 2422240204420 3027800255525 6055600511050 12111201022100