312202013021340 has 384 divisors, whose sum is σ = 1030622541312000. Its totient is φ = 69940616638464.

The previous prime is 312202013021333. The next prime is 312202013021351. The reversal of 312202013021340 is 43120310202213.

It is a self number, because there is not a number n which added to its sum of digits gives 312202013021340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39715326 + ... + 46922394.

It is an arithmetic number, because the mean of its divisors is an integer number (2683912868000).

Almost surely, 2^{312202013021340} is an apocalyptic number.

312202013021340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312202013021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515311270656000).

312202013021340 is an abundant number, since it is smaller than the sum of its proper divisors (718420528290660).

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

312202013021340 is a wasteful number, since it uses less digits than its factorization.

312202013021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207229 (or 7207227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312202013021340 its reverse (43120310202213), we get a palindrome (355322323223553).

The spelling of 312202013021340 in words is "three hundred twelve trillion, two hundred two billion, thirteen million, twenty-one thousand, three hundred forty".