312129801 has 16 divisors (see below), whose sum is σ = 467185600. Its totient is φ = 205939584.

The previous prime is 312129799. The next prime is 312129833. The reversal of 312129801 is 108921213.

It is not a de Polignac number, because 312129801 - 2¹ = 312129799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312121801) 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, 56971 + ... + 62208.

It is an arithmetic number, because the mean of its divisors is an integer number (29199100).

Almost surely, 2^312129801 is an apocalyptic number.

It is an amenable number.

312129801 is a deficient number, since it is larger than the sum of its proper divisors (155055799).

312129801 is a wasteful number, since it uses less digits than its factorization.

312129801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119285 (or 119279 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 312129801 is about 17667.1956178676. The cubic root of 312129801 is about 678.3363316814.

The spelling of 312129801 in words is "three hundred twelve million, one hundred twenty-nine thousand, eight hundred one".