312450221312 has 108 divisors (see below), whose sum is σ = 643671349020. Its totient is φ = 151367712768.

The previous prime is 312450221309. The next prime is 312450221339. The reversal of 312450221312 is 213122054213.

It can be written as a sum of positive squares in 6 ways, for example, as 65814823936 + 246635397376 = 256544^2 + 496624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90067514 + ... + 90070982.

Almost surely, 2^312450221312 is an apocalyptic number.

312450221312 is a gapful number since it is divisible by the number (32) 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 312450221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321835674510).

312450221312 is an abundant number, since it is smaller than the sum of its proper divisors (331221127708).

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

312450221312 is an equidigital number, since it uses as much as digits as its factorization.

312450221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 312450221312 its reverse (213122054213), we get a palindrome (525572275525).

The spelling of 312450221312 in words is "three hundred twelve billion, four hundred fifty million, two hundred twenty-one thousand, three hundred twelve".