312120144133 has 32 divisors (see below), whose sum is σ = 379207987200. Its totient is φ = 250948399104.

The previous prime is 312120144113. The next prime is 312120144137. The reversal of 312120144133 is 331441021213.

It is a cyclic number.

It is not a de Polignac number, because 312120144133 - 2¹³ = 312120135941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312120144098 and 312120144107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120144137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5680888 + ... + 5735566.

It is an arithmetic number, because the mean of its divisors is an integer number (11850249600).

Almost surely, 2^312120144133 is an apocalyptic number.

It is an amenable number.

312120144133 is a deficient number, since it is larger than the sum of its proper divisors (67087843067).

312120144133 is a wasteful number, since it uses less digits than its factorization.

312120144133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55129.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 312120144133 its reverse (331441021213), we get a palindrome (643561165346).

The spelling of 312120144133 in words is "three hundred twelve billion, one hundred twenty million, one hundred forty-four thousand, one hundred thirty-three".