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20121221129 is a prime number
BaseRepresentation
bin10010101111010100…
…010111100000001001
31220221021121221101012
4102233110113200021
5312202013034004
613124335333305
71311423362162
oct225724274011
956837557335
1020121221129
1185959a5279
123a96681235
131b8883b609
14d8c43c769
157cb71346e
hex4af517809

20121221129 has 2 divisors, whose sum is σ = 20121221130. Its totient is φ = 20121221128.

The previous prime is 20121221117. The next prime is 20121221137. The reversal of 20121221129 is 92112212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20120855104 + 366025 = 141848^2 + 605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20121221129 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121271129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060610564 + 10060610565.

It is an arithmetic number, because the mean of its divisors is an integer number (10060610565).

Almost surely, 220121221129 is an apocalyptic number.

It is an amenable number.

20121221129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121221129 is an equidigital number, since it uses as much as digits as its factorization.

20121221129 is an evil number, because the sum of its binary digits is even.

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

The spelling of 20121221129 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-nine".