212314255500321 has 96 divisors (see below), whose sum is σ = 345337987962240. Its totient is φ = 124794029058048.

The previous prime is 212314255500301. The next prime is 212314255500397. The reversal of 212314255500321 is 123005552413212.

212314255500321 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 142 + 5 + 5 + 500 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 212314255500321 - 2²¹ = 212314253403169 is a prime.

It is a super-2 number, since 2×212314255500321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212314255500301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199993506 + ... + 201052308.

It is an arithmetic number, because the mean of its divisors is an integer number (3597270707940).

Almost surely, 2^{212314255500321} is an apocalyptic number.

It is an amenable number.

212314255500321 is a deficient number, since it is larger than the sum of its proper divisors (133023732461919).

212314255500321 is a wasteful number, since it uses less digits than its factorization.

212314255500321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059487 (or 1059484 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 212314255500321 in words is "two hundred twelve trillion, three hundred fourteen billion, two hundred fifty-five million, five hundred thousand, three hundred twenty-one".