312222544000 has 256 divisors, whose sum is σ = 842002892640. Its totient is φ = 114671616000.

The previous prime is 312222543973. The next prime is 312222544001. The reversal of 312222544000 is 445222213.

It can be written as a sum of positive squares in 16 ways, for example, as 2009190976 + 310213353024 = 44824^2 + 556968^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (312222544001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11138002 + ... + 11165998.

Almost surely, 2^312222544000 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 312222544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421001446320).

312222544000 is an abundant number, since it is smaller than the sum of its proper divisors (529780348640).

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

312222544000 is a wasteful number, since it uses less digits than its factorization.

312222544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28084 (or 28062 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 312222544000 its reverse (445222213), we get a palindrome (312667766213).

The spelling of 312222544000 in words is "three hundred twelve billion, two hundred twenty-two million, five hundred forty-four thousand".