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20121212129 = 293176129411
BaseRepresentation
bin10010101111010100…
…010101010011100001
31220221021121111000212
4102233110111103201
5312202012242004
613124335223505
71311423324014
oct225724252341
956837544025
1020121212129
118595999537
123a96677b95
131b888374a5
14d8c43937b
157cb71096e
hex4af5154e1

20121212129 has 16 divisors (see below), whose sum is σ = 21515466240. Its totient is φ = 18775344000.

The previous prime is 20121212117. The next prime is 20121212171. The reversal of 20121212129 is 92121212102.

It is a cyclic number.

It is not a de Polignac number, because 20121212129 - 212 = 20121208033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121212329) 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, 669434 + ... + 698844.

It is an arithmetic number, because the mean of its divisors is an integer number (1344716640).

Almost surely, 220121212129 is an apocalyptic number.

20121212129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20121212129 is a deficient number, since it is larger than the sum of its proper divisors (1394254111).

20121212129 is a wasteful number, since it uses less digits than its factorization.

20121212129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30232.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 20121212129 in words is "twenty billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-nine".

Divisors: 1 29 31 761 899 22069 23591 29411 684139 852919 911741 22381771 26440489 649071359 693834901 20121212129