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12100200111221 = 411519192126749
BaseRepresentation
bin1011000000010100110000…
…1000010001110001110101
31120211202201202021011000212
42300011030020101301311
53041222202212024341
641422431042115205
72356132144630445
oct260051410216165
946752652234025
1012100200111221
113945736569482
12143512464bb05
1369a0757c5121
142db91d450125
1515eb499d75eb
hexb014c211c75

12100200111221 has 16 divisors (see below), whose sum is σ = 12490998240000. Its totient is φ = 11714127984000.

The previous prime is 12100200111217. The next prime is 12100200111277. The reversal of 12100200111221 is 12211100200121.

It is a cyclic number.

It is not a de Polignac number, because 12100200111221 - 22 = 12100200111217 is a prime.

It is a super-2 number, since 2×121002001112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100200111196 and 12100200111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100200111521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4626155 + ... + 6752903.

It is an arithmetic number, because the mean of its divisors is an integer number (780687390000).

Almost surely, 212100200111221 is an apocalyptic number.

It is an amenable number.

12100200111221 is a deficient number, since it is larger than the sum of its proper divisors (390798128779).

12100200111221 is a wasteful number, since it uses less digits than its factorization.

12100200111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127860.

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

Adding to 12100200111221 its reverse (12211100200121), we get a palindrome (24311300311342).

The spelling of 12100200111221 in words is "twelve trillion, one hundred billion, two hundred million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 41 151 919 6191 37679 138769 2126749 5689529 87196709 321139099 1954482331 13166703059 80133775571 295126831981 12100200111221