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20121122010029 is a prime number
BaseRepresentation
bin1001001001100110100000…
…10101000111001110101101
32122020120010120220010120012
410210303100111013032231
510114131024213310104
6110443303231103005
74144463106100355
oct444632025071655
978216116803505
1020121122010029
1164583578aa977
12230b737071a65
13b2c54ba87061
144d7c205d1b65
1524d5e35bdd6e
hex124cd05473ad

20121122010029 has 2 divisors, whose sum is σ = 20121122010030. Its totient is φ = 20121122010028.

The previous prime is 20121122010007. The next prime is 20121122010113. The reversal of 20121122010029 is 92001022112102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19757269357225 + 363852652804 = 4444915^2 + 603202^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20121122010029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121122009986 and 20121122010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121122012029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060561005014 + 10060561005015.

It is an arithmetic number, because the mean of its divisors is an integer number (10060561005015).

Almost surely, 220121122010029 is an apocalyptic number.

It is an amenable number.

20121122010029 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121122010029 is an equidigital number, since it uses as much as digits as its factorization.

20121122010029 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 20121122010029 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, ten thousand, twenty-nine".