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12100012209 = 3237411376469
BaseRepresentation
bin10110100010011011…
…11000100010110001
31011020021022022022100
423101031320202301
5144240100342314
65320401131013
7605564256345
oct132115704261
934207268270
1012100012209
11514a16129a
122418329a69
1311aaab0a4c
1482b013625
154ac428c09
hex2d13788b1

12100012209 has 48 divisors (see below), whose sum is σ = 18525059280. Its totient is φ = 7600158720.

The previous prime is 12100012207. The next prime is 12100012217. The reversal of 12100012209 is 90221000121.

It can be written as a sum of positive squares in 8 ways, for example, as 980942400 + 11119069809 = 31320^2 + 105447^2 .

It is not a de Polignac number, because 12100012209 - 21 = 12100012207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100012191 and 12100012200.

It is not an unprimeable number, because it can be changed into a prime (12100012207) 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, 1867227 + ... + 1873695.

It is an arithmetic number, because the mean of its divisors is an integer number (385938735).

Almost surely, 212100012209 is an apocalyptic number.

It is an amenable number.

12100012209 is a deficient number, since it is larger than the sum of its proper divisors (6425047071).

12100012209 is a wasteful number, since it uses less digits than its factorization.

12100012209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 12100012209 in words is "twelve billion, one hundred million, twelve thousand, two hundred nine".

Divisors: 1 3 9 37 41 111 123 137 333 369 411 1233 1517 4551 5069 5617 6469 13653 15207 16851 19407 45621 50553 58221 207829 239353 265229 623487 718059 795687 886253 1870461 2154177 2387061 2658759 7976277 9813473 29440419 32791361 36336373 88321257 98374083 109009119 295122249 327027357 1344445801 4033337403 12100012209