800123241 has 64 divisors (see below), whose sum is σ = 1226244096. Its totient is φ = 461260800.

The previous prime is 800123239. The next prime is 800123243. The reversal of 800123241 is 142321008.

It is an interprime number because it is at equal distance from previous prime (800123239) and next prime (800123243).

It is not a de Polignac number, because 800123241 - 2¹ = 800123239 is a prime.

It is a super-3 number, since 3×800123241³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (800123243) 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 in 63 ways as a sum of consecutive naturals, for example, 6107746 + ... + 6107876.

It is an arithmetic number, because the mean of its divisors is an integer number (19160064).

Almost surely, 2^800123241 is an apocalyptic number.

It is an amenable number.

800123241 is a deficient number, since it is larger than the sum of its proper divisors (426120855).

800123241 is a wasteful number, since it uses less digits than its factorization.

800123241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 800123241 is about 28286.4497772343. The cubic root of 800123241 is about 928.3654337790.

Adding to 800123241 its reverse (142321008), we get a palindrome (942444249).

The spelling of 800123241 in words is "eight hundred million, one hundred twenty-three thousand, two hundred forty-one".