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12200112111213 = 331359589121257
BaseRepresentation
bin1011000110001000111101…
…0110010011111001101101
31121012022121210022121222000
42301202033112103321231
53044341312200024323
641540353143042513
72366300102623245
oct261421726237155
947168553277860
1012200112111213
1139840472598a4
121450568a40439
136a6609003050
143026ba924b25
1516254613ce43
hexb188f593e6d

12200112111213 has 32 divisors (see below), whose sum is σ = 19794474268800. Its totient is φ = 7380511095168.

The previous prime is 12200112111211. The next prime is 12200112111221. The reversal of 12200112111213 is 31211121100221.

It is a happy number.

It is not a de Polignac number, because 12200112111213 - 21 = 12200112111211 is a prime.

It is a super-2 number, since 2×122001121112132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200112111211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294539920 + ... + 294581337.

It is an arithmetic number, because the mean of its divisors is an integer number (618577320900).

Almost surely, 212200112111213 is an apocalyptic number.

12200112111213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12200112111213 is a deficient number, since it is larger than the sum of its proper divisors (7594362157587).

12200112111213 is a wasteful number, since it uses less digits than its factorization.

12200112111213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589121338 (or 589121332 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12200112111213 its reverse (31211121100221), we get a palindrome (43411233211434).

The spelling of 12200112111213 in words is "twelve trillion, two hundred billion, one hundred twelve million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 39 59 117 177 351 531 767 1593 2301 6903 20709 589121257 1767363771 5302091313 7658576341 15906273939 22975729023 34758154163 68927187069 104274462489 206781561207 312823387467 451856004119 938470162401 1355568012357 4066704037071 12200112111213