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12211221121122 = 2389151931505131
BaseRepresentation
bin1011000110110010010101…
…1111110100100001100010
31121020101021222212210200110
42301230211133310201202
53100032040101333442
641545431343432150
72400142304635242
oct261544537644142
947211258783613
1012211221121122
113988827a82421
1214527492b5656
136a76896a71aa
1430305208db22
1516299656169c
hexb1b257f4862

12211221121122 has 32 divisors (see below), whose sum is σ = 24698493656640. Its totient is φ = 4024404552960.

The previous prime is 12211221121087. The next prime is 12211221121123. The reversal of 12211221121122 is 22112112211221.

12211221121122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122112211211223 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12211221121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7360497 + ... + 8865627.

It is an arithmetic number, because the mean of its divisors is an integer number (771827926770).

Almost surely, 212211221121122 is an apocalyptic number.

12211221121122 is an abundant number, since it is smaller than the sum of its proper divisors (12487272535518).

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

12211221121122 is a wasteful number, since it uses less digits than its factorization.

12211221121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520418.

The product of its digits is 128, while the sum is 21.

Adding to 12211221121122 its reverse (22112112211221), we get a palindrome (34323333332343).

The spelling of 12211221121122 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 89 178 267 534 15193 30386 45579 91158 1352177 1505131 2704354 3010262 4056531 4515393 8113062 9030786 133956659 267913318 401869977 803739954 22867455283 45734910566 68602365849 137204731698 2035203520187 4070407040374 6105610560561 12211221121122