312211301201300 has 144 divisors (see below), whose sum is σ = 721319204616192. Its totient is φ = 116889487257600.

The previous prime is 312211301201273. The next prime is 312211301201309. The reversal of 312211301201300 is 3102103112213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312211301201309) 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, 320751149 + ... + 321723051.

It is an arithmetic number, because the mean of its divisors is an integer number (5009161143168).

Almost surely, 2^{312211301201300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312211301201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360659602308096).

312211301201300 is an abundant number, since it is smaller than the sum of its proper divisors (409107903414892).

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

312211301201300 is a wasteful number, since it uses less digits than its factorization.

312211301201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972978 (or 972971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312211301201300 its reverse (3102103112213), we get a palindrome (315313404313513).

The spelling of 312211301201300 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred one million, two hundred one thousand, three hundred".