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12133132121 = 1110130735573
BaseRepresentation
bin10110100110011000…
…01110011101011001
31011022120121222021202
423103030032131121
5144322040211441
65323543043545
7606445631015
oct132314163531
934276558252
1012133132121
115166922820
1224274405b5
1311b4908b26
14831595545
154b02bc19b
hex2d330e759

12133132121 has 16 divisors (see below), whose sum is σ = 13411113408. Its totient is φ = 10885032000.

The previous prime is 12133132079. The next prime is 12133132153. The reversal of 12133132121 is 12123133121.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12133132121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133132093 and 12133132102.

It is not an unprimeable number, because it can be changed into a prime (12133132171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323291 + ... + 358863.

It is an arithmetic number, because the mean of its divisors is an integer number (838194588).

Almost surely, 212133132121 is an apocalyptic number.

12133132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12133132121 is a deficient number, since it is larger than the sum of its proper divisors (1277981287).

12133132121 is a wasteful number, since it uses less digits than its factorization.

12133132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35992.

The product of its digits is 216, while the sum is 20.

Adding to 12133132121 its reverse (12123133121), we get a palindrome (24256265242).

The spelling of 12133132121 in words is "twelve billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 101 307 1111 3377 31007 35573 341077 391303 3592873 10920911 39521603 120130021 1103012011 12133132121