312121029 has 16 divisors (see below), whose sum is σ = 458017344. Its totient is φ = 187488000.

The previous prime is 312121013. The next prime is 312121049. The reversal of 312121029 is 920121213.

It is not a de Polignac number, because 312121029 - 2⁴ = 312121013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312120996 and 312121014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121049) 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, 38122 + ... + 45579.

It is an arithmetic number, because the mean of its divisors is an integer number (28626084).

Almost surely, 2^312121029 is an apocalyptic number.

It is an amenable number.

312121029 is a deficient number, since it is larger than the sum of its proper divisors (145896315).

312121029 is a wasteful number, since it uses less digits than its factorization.

312121029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83828.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 312121029 is about 17666.9473594054. The cubic root of 312121029 is about 678.3299770366.

The spelling of 312121029 in words is "three hundred twelve million, one hundred twenty-one thousand, twenty-nine".