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12133002121 = 194123716569
BaseRepresentation
bin10110100110010111…
…01110101110001001
31011022120101100221221
423103023232232021
5144322022031441
65323540202041
7606444550012
oct132313565611
934276340857
1012133002121
115166844089
122427399321
1311b48918c6
14831560009
154b02938d1
hex2d32eeb89

12133002121 has 16 divisors (see below), whose sum is σ = 13090593600. Its totient is φ = 11207635200.

The previous prime is 12133002109. The next prime is 12133002137. The reversal of 12133002121 is 12120033121.

It is a cyclic number.

It is not a de Polignac number, because 12133002121 - 211 = 12133000073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133002095 and 12133002104.

It is not an unprimeable number, because it can be changed into a prime (12133002151) 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 15 ways as a sum of consecutive naturals, for example, 1843725 + ... + 1850293.

It is an arithmetic number, because the mean of its divisors is an integer number (818162100).

Almost surely, 212133002121 is an apocalyptic number.

It is an amenable number.

12133002121 is a deficient number, since it is larger than the sum of its proper divisors (957591479).

12133002121 is a wasteful number, since it uses less digits than its factorization.

12133002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12133002121 its reverse (12120033121), we get a palindrome (24253035242).

The spelling of 12133002121 in words is "twelve billion, one hundred thirty-three million, two thousand, one hundred twenty-one".

Divisors: 1 19 41 779 2371 6569 45049 97211 124811 269329 1847009 5117251 15575099 295926881 638579059 12133002121