Search a number
-
+
12001012129 is a prime number
BaseRepresentation
bin10110010110101000…
…01110100110100001
31010222101000120201201
423023110032212201
5144034224342004
65302503201201
7603252630361
oct131324164641
933871016651
1012001012129
1150a9293047
1223ab146201
13119342a412
1481bc029a1
154a38c06a4
hex2cb50e9a1

12001012129 has 2 divisors, whose sum is σ = 12001012130. Its totient is φ = 12001012128.

The previous prime is 12001012091. The next prime is 12001012139. The reversal of 12001012129 is 92121010021.

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., 10181819025 + 1819193104 = 100905^2 + 42652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001012129 is a prime.

It is a super-2 number, since 2×120010121292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12001012139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000506064 + 6000506065.

It is an arithmetic number, because the mean of its divisors is an integer number (6000506065).

Almost surely, 212001012129 is an apocalyptic number.

It is an amenable number.

12001012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001012129 is an equidigital number, since it uses as much as digits as its factorization.

12001012129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 12001012129 in words is "twelve billion, one million, twelve thousand, one hundred twenty-nine".