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12211122201012 = 2232748456834131
BaseRepresentation
bin1011000110110001111110…
…0110011110000110110100
31121020101001002202010210200
42301230133212132012310
53100031334240413022
641545413451320500
72400136664061360
oct261543746360664
947211032663720
1012211122201012
113988787159269
121452720150130
136a7672051097
14303042ca02a0
1516298ca21bac
hexb1b1f99e1b4

12211122201012 has 36 divisors (see below), whose sum is σ = 35276575248096. Its totient is φ = 3488892057360.

The previous prime is 12211122200971. The next prime is 12211122201017. The reversal of 12211122201012 is 21010222111221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122111222010122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122201017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24228416814 + ... + 24228417317.

Almost surely, 212211122201012 is an apocalyptic number.

12211122201012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211122201012 is an abundant number, since it is smaller than the sum of its proper divisors (23065453047084).

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

12211122201012 is a wasteful number, since it uses less digits than its factorization.

12211122201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48456834148 (or 48456834143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211122201012 its reverse (21010222111221), we get a palindrome (33221344312233).

The spelling of 12211122201012 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48456834131 96913668262 145370502393 193827336524 290741004786 339197838917 436111507179 581482009572 678395677834 872223014358 1017593516751 1356791355668 1744446028716 2035187033502 3052780550253 4070374067004 6105561100506 12211122201012