312214120414301 has 48 divisors (see below), whose sum is σ = 385227413176320. Its totient is φ = 251898267972960.

The previous prime is 312214120414297. The next prime is 312214120414367. The reversal of 312214120414301 is 103414021412213.

It is not a de Polignac number, because 312214120414301 - 2² = 312214120414297 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312214120404301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5610800 + ... + 25610726.

It is an arithmetic number, because the mean of its divisors is an integer number (8025571107840).

Almost surely, 2^{312214120414301} is an apocalyptic number.

312214120414301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312214120414301 is a deficient number, since it is larger than the sum of its proper divisors (73013292762019).

312214120414301 is a wasteful number, since it uses less digits than its factorization.

312214120414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000254 (or 20000247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 312214120414301 its reverse (103414021412213), we get a palindrome (415628141826514).

The spelling of 312214120414301 in words is "three hundred twelve trillion, two hundred fourteen billion, one hundred twenty million, four hundred fourteen thousand, three hundred one".