Search a number
-
+
12211122121 = 1110871021253
BaseRepresentation
bin10110101111101011…
…01110111111001001
31011112000101021110021
423113311232333021
5200002021401441
65335410420441
7611413553062
oct132765567711
934460337407
1012211122121
1151a6950870
122449591721
1311c7b14363
1483ba97569
154b70753d1
hex2d7d6efc9

12211122121 has 8 divisors (see below), whose sum is σ = 13333492224. Its totient is φ = 11090796720.

The previous prime is 12211122113. The next prime is 12211122169. The reversal of 12211122121 is 12122111221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12211122121 - 23 = 12211122113 is a prime.

It is a super-2 number, since 2×122111221212 (a number of 21 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 = 12211122095 and 12211122104.

It is not an unprimeable number, because it can be changed into a prime (12211122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498670 + ... + 522583.

It is an arithmetic number, because the mean of its divisors is an integer number (1666686528).

Almost surely, 212211122121 is an apocalyptic number.

12211122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211122121 is a deficient number, since it is larger than the sum of its proper divisors (1122370103).

12211122121 is a wasteful number, since it uses less digits than its factorization.

12211122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022351.

The product of its digits is 32, while the sum is 16.

Adding to 12211122121 its reverse (12122111221), we get a palindrome (24333233342).

The spelling of 12211122121 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 11 1087 11957 1021253 11233783 1110102011 12211122121