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12212132121 = 3271741278111
BaseRepresentation
bin10110101111110011…
…00101100100011001
31011112002021120220200
423113321211210121
5200002301211441
65335444212413
7611425260510
oct132771454431
934462246820
1012212132121
1151a7480682
12244999a109
1311c80a8ca7
1483bc7b677
154b71c47b6
hex2d7e65919

12212132121 has 48 divisors (see below), whose sum is σ = 21866277888. Its totient is φ = 6407654400.

The previous prime is 12212132089. The next prime is 12212132123. The reversal of 12212132121 is 12123121221.

It is not a de Polignac number, because 12212132121 - 25 = 12212132089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12212132094 and 12212132103.

It is not an unprimeable number, because it can be changed into a prime (12212132123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95145 + ... + 182966.

It is an arithmetic number, because the mean of its divisors is an integer number (455547456).

Almost surely, 212212132121 is an apocalyptic number.

It is an amenable number.

12212132121 is a deficient number, since it is larger than the sum of its proper divisors (9654145767).

12212132121 is a wasteful number, since it uses less digits than its factorization.

12212132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278182 (or 278179 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12212132121 its reverse (12123121221), we get a palindrome (24335253342).

The spelling of 12212132121 in words is "twelve billion, two hundred twelve million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 41 51 63 119 123 153 287 357 369 697 861 1071 2091 2583 4879 6273 14637 43911 278111 834333 1946777 2502999 4727887 5840331 11402551 14183661 17520993 33095209 34207653 42550983 79817857 99285627 102622959 193843367 239453571 297856881 581530101 718360713 1356903569 1744590303 4070710707 12212132121