312201440201421 has 24 divisors (see below), whose sum is σ = 451199538514296. Its totient is φ = 208022650214400.

The previous prime is 312201440201419. The next prime is 312201440201423. The reversal of 312201440201421 is 124102044102213.

312201440201421 is a `hidden beast` number, since 3 + 1 + 2 + 20 + 14 + 4 + 0 + 201 + 421 = 666.

It is an interprime number because it is at equal distance from previous prime (312201440201419) and next prime (312201440201423).

It can be written as a sum of positive squares in 4 ways, for example, as 247311793822500 + 64889646378921 = 15726150^2 + 8055411^2 .

It is not a de Polignac number, because 312201440201421 - 2¹ = 312201440201419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312201440201423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123724701 + ... + 1124002493.

It is an arithmetic number, because the mean of its divisors is an integer number (18799980771429).

Almost surely, 2^{312201440201421} is an apocalyptic number.

It is an amenable number.

312201440201421 is a deficient number, since it is larger than the sum of its proper divisors (138998098312875).

312201440201421 is a wasteful number, since it uses less digits than its factorization.

312201440201421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344333 (or 344330 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 312201440201421 its reverse (124102044102213), we get a palindrome (436303484303634).

The spelling of 312201440201421 in words is "three hundred twelve trillion, two hundred one billion, four hundred forty million, two hundred one thousand, four hundred twenty-one".