312124641 has 16 divisors (see below), whose sum is σ = 441293184. Its totient is φ = 195555584.

The previous prime is 312124621. The next prime is 312124663. The reversal of 312124641 is 146421213.

It is a cyclic number.

It is not a de Polignac number, because 312124641 - 2⁶ = 312124577 is a prime.

It is a super-3 number, since 3×312124641³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312124601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33775 + ... + 42011.

It is an arithmetic number, because the mean of its divisors is an integer number (27580824).

Almost surely, 2^312124641 is an apocalyptic number.

It is an amenable number.

312124641 is a deficient number, since it is larger than the sum of its proper divisors (129168543).

312124641 is a wasteful number, since it uses less digits than its factorization.

312124641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000.

The product of its digits is 1152, while the sum is 24.

The square root of 312124641 is about 17667.0495839005. The cubic root of 312124641 is about 678.3325936695.

Adding to 312124641 its reverse (146421213), we get a palindrome (458545854).

It can be divided in two parts, 31212 and 4641, that added together give a palindrome (35853).

The spelling of 312124641 in words is "three hundred twelve million, one hundred twenty-four thousand, six hundred forty-one".