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12141020221 = 1110198311117
BaseRepresentation
bin10110100111010100…
…10100010000111101
31011100010110201201121
423103222110100331
5144331100121341
65324424110541
7606602653261
oct132352242075
934303421647
1012141020221
115170320210
12242a005451
1311b643b345
1483264a0a1
154b0d294d1
hex2d3a9443d

12141020221 has 16 divisors (see below), whose sum is σ = 13390697088. Its totient is φ = 10915912000.

The previous prime is 12141020153. The next prime is 12141020267. The reversal of 12141020221 is 12202014121.

12141020221 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 12141020221 - 223 = 12132631613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12141020195 and 12141020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141020321) 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, 1086555 + ... + 1097671.

It is an arithmetic number, because the mean of its divisors is an integer number (836918568).

Almost surely, 212141020221 is an apocalyptic number.

12141020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12141020221 is a deficient number, since it is larger than the sum of its proper divisors (1249676867).

12141020221 is a wasteful number, since it uses less digits than its factorization.

12141020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12141020221 its reverse (12202014121), we get a palindrome (24343034342).

The spelling of 12141020221 in words is "twelve billion, one hundred forty-one million, twenty thousand, two hundred twenty-one".

Divisors: 1 11 101 983 1111 10813 11117 99283 122287 1092113 1122817 10928011 12350987 120208121 1103729111 12141020221