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20121000123 = 371019486563
BaseRepresentation
bin10010101111010011…
…100001100010111011
31220221021012201012210
4102233103201202323
5312201434000443
613124330510203
71311421451640
oct225723414273
956837181183
1020121000123
118595864224
123a96595363
131b88791b43
14d8c3c1dc7
157cb6bcc33
hex4af4e18bb

20121000123 has 16 divisors (see below), whose sum is σ = 30964144896. Its totient is φ = 11383874400.

The previous prime is 20121000113. The next prime is 20121000161. The reversal of 20121000123 is 32100012102.

It is not a de Polignac number, because 20121000123 - 25 = 20121000091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121000099 and 20121000108.

It is not an unprimeable number, because it can be changed into a prime (20121000103) 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, 4741161 + ... + 4745402.

It is an arithmetic number, because the mean of its divisors is an integer number (1935259056).

Almost surely, 220121000123 is an apocalyptic number.

20121000123 is a deficient number, since it is larger than the sum of its proper divisors (10843144773).

20121000123 is a wasteful number, since it uses less digits than its factorization.

20121000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486674.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20121000123 its reverse (32100012102), we get a palindrome (52221012225).

The spelling of 20121000123 in words is "twenty billion, one hundred twenty-one million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 7 21 101 303 707 2121 9486563 28459689 66405941 199217823 958142863 2874428589 6707000041 20121000123