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20121221137 is a prime number
BaseRepresentation
bin10010101111010100…
…010111100000010001
31220221021121221101111
4102233110113200101
5312202013034022
613124335333321
71311423362203
oct225724274021
956837557344
1020121221137
1185959a5286
123a96681241
131b8883b614
14d8c43c773
157cb713477
hex4af517811

20121221137 has 2 divisors, whose sum is σ = 20121221138. Its totient is φ = 20121221136.

The previous prime is 20121221129. The next prime is 20121221161. The reversal of 20121221137 is 73112212102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20096181121 + 25040016 = 141761^2 + 5004^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121221137 - 23 = 20121221129 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121221117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060610568 + 10060610569.

It is an arithmetic number, because the mean of its divisors is an integer number (10060610569).

Almost surely, 220121221137 is an apocalyptic number.

It is an amenable number.

20121221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121221137 is an equidigital number, since it uses as much as digits as its factorization.

20121221137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 20121221137 its reverse (73112212102), we get a palindrome (93233433239).

The spelling of 20121221137 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred thirty-seven".