312211201201300 has 72 divisors (see below), whose sum is σ = 701127736124760. Its totient is φ = 120532111526400.

The previous prime is 312211201201247. The next prime is 312211201201343. The reversal of 312211201201300 is 3102102112213.

It can be written as a sum of positive squares in 12 ways, for example, as 12430095101956 + 299781106099344 = 3525634^2 + 17314188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12936879 + ... + 28138678.

It is an arithmetic number, because the mean of its divisors is an integer number (9737885223955).

Almost surely, 2^{312211201201300} is an apocalyptic number.

It is an amenable number.

312211201201300 is an abundant number, since it is smaller than the sum of its proper divisors (388916534923460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312211201201300 is a wasteful number, since it uses less digits than its factorization.

312211201201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41078221 (or 41078214 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312211201201300 its reverse (3102102112213), we get a palindrome (315313303313513).

The spelling of 312211201201300 in words is "three hundred twelve trillion, two hundred eleven billion, two hundred one million, two hundred one thousand, three hundred".