312220781730 has 384 divisors, whose sum is σ = 970239029760. Its totient is φ = 68662702080.

The previous prime is 312220781701. The next prime is 312220781753. The reversal of 312220781730 is 37187022213.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412444512 + ... + 412445268.

It is an arithmetic number, because the mean of its divisors is an integer number (2526664140).

Almost surely, 2^312220781730 is an apocalyptic number.

312220781730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312220781730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485119514880).

312220781730 is an abundant number, since it is smaller than the sum of its proper divisors (658018248030).

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

312220781730 is a wasteful number, since it uses less digits than its factorization.

312220781730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 312220781730 in words is "three hundred twelve billion, two hundred twenty million, seven hundred eighty-one thousand, seven hundred thirty".