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12011212100 = 2252120112121
BaseRepresentation
bin10110010111110110…
…01000110101000100
31011000002012210110102
423023323020311010
5144044332241400
65303505543232
7603435422036
oct131373106504
934002183412
1012011212100
11510401a478
1223b2644b18
13119558bcc4
1481d2d9c56
154a47379d5
hex2cbec8d44

12011212100 has 18 divisors (see below), whose sum is σ = 26064330474. Its totient is φ = 4804484800.

The previous prime is 12011212091. The next prime is 12011212139. The reversal of 12011212100 is 121211021.

12011212100 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 3 ways, for example, as 47665216 + 11963546884 = 6904^2 + 109378^2 .

It is a super-2 number, since 2×120112121002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 60055961 + ... + 60056160.

Almost surely, 212011212100 is an apocalyptic number.

12011212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011212100 is an abundant number, since it is smaller than the sum of its proper divisors (14053118374).

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

12011212100 is a wasteful number, since it uses less digits than its factorization.

12011212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120112135 (or 120112128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011212100 its reverse (121211021), we get a palindrome (12132423121).

The spelling of 12011212100 in words is "twelve billion, eleven million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120112121 240224242 480448484 600560605 1201121210 2402242420 3002803025 6005606050 12011212100