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12422001461 is a prime number
BaseRepresentation
bin10111001000110100…
…01011001100110101
31012001201012001112012
423210122023030311
5200420013021321
65412342334005
7616554161462
oct134432131465
935051161465
1012422001461
1152a4994611
1224a812a305
13122c70a52c
1485baac669
154ca82d05b
hex2e468b335

12422001461 has 2 divisors, whose sum is σ = 12422001462. Its totient is φ = 12422001460.

The previous prime is 12422001407. The next prime is 12422001467. The reversal of 12422001461 is 16410022421.

12422001461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12353211025 + 68790436 = 111145^2 + 8294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12422001461 is a prime.

It is a super-2 number, since 2×124220014612 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12422001467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6211000730 + 6211000731.

It is an arithmetic number, because the mean of its divisors is an integer number (6211000731).

Almost surely, 212422001461 is an apocalyptic number.

It is an amenable number.

12422001461 is a deficient number, since it is larger than the sum of its proper divisors (1).

12422001461 is an equidigital number, since it uses as much as digits as its factorization.

12422001461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12422001461 its reverse (16410022421), we get a palindrome (28832023882).

The spelling of 12422001461 in words is "twelve billion, four hundred twenty-two million, one thousand, four hundred sixty-one".