312001142121221 has 16 divisors (see below), whose sum is σ = 364951770213888. Its totient is φ = 261148227001200.

The previous prime is 312001142121191. The next prime is 312001142121259. The reversal of 312001142121221 is 122121241100213.

It is not a de Polignac number, because 312001142121221 - 2³⁰ = 312000068379397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001142126221) 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, 121808795 + ... + 124343816.

It is an arithmetic number, because the mean of its divisors is an integer number (22809485638368).

Almost surely, 2^{312001142121221} is an apocalyptic number.

It is an amenable number.

312001142121221 is a deficient number, since it is larger than the sum of its proper divisors (52950628092667).

312001142121221 is a wasteful number, since it uses less digits than its factorization.

312001142121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246156872.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 312001142121221 its reverse (122121241100213), we get a palindrome (434122383221434).

The spelling of 312001142121221 in words is "three hundred twelve trillion, one billion, one hundred forty-two million, one hundred twenty-one thousand, two hundred twenty-one".