Search a number
-
+
12120022211 = 1117471378999
BaseRepresentation
bin10110100100110100…
…01101110011000011
31011021122221220212112
423102122031303003
5144310211202321
65322354045535
7606226326503
oct132232156303
934248856775
1012120022211
11515a489090
122422b798ab
1311b1c9889b
1482d941a03
154ae07ca5b
hex2d268dcc3

12120022211 has 16 divisors (see below), whose sum is σ = 14297472000. Its totient is φ = 10149425280.

The previous prime is 12120022181. The next prime is 12120022267. The reversal of 12120022211 is 11222002121.

12120022211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12120022211 - 218 = 12119760067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120022511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680711 + ... + 698288.

It is an arithmetic number, because the mean of its divisors is an integer number (893592000).

Almost surely, 212120022211 is an apocalyptic number.

12120022211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12120022211 is a deficient number, since it is larger than the sum of its proper divisors (2177449789).

12120022211 is a wasteful number, since it uses less digits than its factorization.

12120022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379074.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120022211 its reverse (11222002121), we get a palindrome (23342024332).

The spelling of 12120022211 in words is "twelve billion, one hundred twenty million, twenty-two thousand, two hundred eleven".

Divisors: 1 11 17 47 187 517 799 8789 1378999 15168989 23442983 64812953 257872813 712942483 1101820201 12120022211