Search a number
-
+
2122120121237 is a prime number
BaseRepresentation
bin11110111000011000001…
…101110100101110010101
321111212120012101210001022
4132320120031310232111
5234232100222334422
64302515531010525
7306214054256654
oct36703015645625
97455505353038
102122120121237
11748a93537416
122a3345899a45
13125165a62c3c
14749d55dd19b
153a304172342
hex1ee18374b95

2122120121237 has 2 divisors, whose sum is σ = 2122120121238. Its totient is φ = 2122120121236.

The previous prime is 2122120121201. The next prime is 2122120121249. The reversal of 2122120121237 is 7321210212212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1760785686916 + 361334434321 = 1326946^2 + 601111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122120121237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122120121287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061060060618 + 1061060060619.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060060619).

Almost surely, 22122120121237 is an apocalyptic number.

It is an amenable number.

2122120121237 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122120121237 is an equidigital number, since it uses as much as digits as its factorization.

2122120121237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 2122120121237 its reverse (7321210212212), we get a palindrome (9443330333449).

The spelling of 2122120121237 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred thirty-seven".