Search a number
-
+
12210011121 = 3711431229237
BaseRepresentation
bin10110101111100010…
…11111101111110001
31011111221021211110010
423113301133233301
5200001230323441
65335330525133
7611401245030
oct132761375761
934457254403
1012210011121
1151a6262090
1224491367a9
1311c7815769
1483b888717
154b6e06116
hex2d7c5fbf1

12210011121 has 32 divisors (see below), whose sum is σ = 20769205248. Its totient is φ = 6195349440.

The previous prime is 12210011117. The next prime is 12210011129. The reversal of 12210011121 is 12111001221.

It is not a de Polignac number, because 12210011121 - 22 = 12210011117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210011097 and 12210011106.

It is not an unprimeable number, because it can be changed into a prime (12210011129) 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 31 ways as a sum of consecutive naturals, for example, 604686 + ... + 624551.

It is an arithmetic number, because the mean of its divisors is an integer number (649037664).

Almost surely, 212210011121 is an apocalyptic number.

12210011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12210011121 is a deficient number, since it is larger than the sum of its proper divisors (8559194127).

12210011121 is a wasteful number, since it uses less digits than its factorization.

12210011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229301.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12210011121 its reverse (12111001221), we get a palindrome (24321012342).

The spelling of 12210011121 in words is "twelve billion, two hundred ten million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 43 77 129 231 301 473 903 1419 3311 9933 1229237 3687711 8604659 13521607 25813977 40564821 52857191 94651249 158571573 283953747 370000337 581429101 1110001011 1744287303 4070003707 12210011121