312220040 has 64 divisors (see below), whose sum is σ = 769824000. Its totient is φ = 113021440.

The previous prime is 312220039. The next prime is 312220057. The reversal of 312220040 is 40022213.

It is a junction number, because it is equal to n+sod(n) for n = 312219997 and 312220024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103676 + ... + 106644.

It is an arithmetic number, because the mean of its divisors is an integer number (12028500).

Almost surely, 2^312220040 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 312220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384912000).

312220040 is an abundant number, since it is smaller than the sum of its proper divisors (457603960).

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

312220040 is a wasteful number, since it uses less digits than its factorization.

312220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 312220040 is about 17669.7492908077. The cubic root of 312220040 is about 678.4016960416.

Adding to 312220040 its reverse (40022213), we get a palindrome (352242253).

The spelling of 312220040 in words is "three hundred twelve million, two hundred twenty thousand, forty".