312221003040 has 144 divisors (see below), whose sum is σ = 1065804752376. Its totient is φ = 83231539200.

The previous prime is 312221003023. The next prime is 312221003047. The reversal of 312221003040 is 40300122213.

It can be written as a sum of positive squares in 4 ways, for example, as 229283914896 + 82937088144 = 478836^2 + 287988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312221003047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4546560 + ... + 4614720.

Almost surely, 2^312221003040 is an apocalyptic number.

312221003040 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 312221003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532902376188).

312221003040 is an abundant number, since it is smaller than the sum of its proper divisors (753583749336).

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

312221003040 is a wasteful number, since it uses less digits than its factorization.

312221003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71363 (or 71352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312221003040 its reverse (40300122213), we get a palindrome (352521125253).

The spelling of 312221003040 in words is "three hundred twelve billion, two hundred twenty-one million, three thousand, forty".