312120030312241 has 16 divisors (see below), whose sum is σ = 332703695797200. Its totient is φ = 291783505858560.

The previous prime is 312120030312239. The next prime is 312120030312283. The reversal of 312120030312241 is 142213030021213.

It can be written as a sum of positive squares in 8 ways, for example, as 128371052709025 + 183748977603216 = 11330095^2 + 13555404^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120030312241 - 2¹ = 312120030312239 is a prime.

It is a super-2 number, since 2×312120030312241² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312120034312241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151812511 + ... + 153854731.

It is an arithmetic number, because the mean of its divisors is an integer number (20793980987325).

Almost surely, 2^{312120030312241} is an apocalyptic number.

It is an amenable number.

312120030312241 is a deficient number, since it is larger than the sum of its proper divisors (20583665484959).

312120030312241 is a wasteful number, since it uses less digits than its factorization.

312120030312241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102724.

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

Adding to 312120030312241 its reverse (142213030021213), we get a palindrome (454333060333454).

The spelling of 312120030312241 in words is "three hundred twelve trillion, one hundred twenty billion, thirty million, three hundred twelve thousand, two hundred forty-one".