312122420 has 48 divisors (see below), whose sum is σ = 687173760. Its totient is φ = 118859136.

The previous prime is 312122401. The next prime is 312122453. The reversal of 312122420 is 24221213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103859 + ... + 106821.

It is an arithmetic number, because the mean of its divisors is an integer number (14316120).

Almost surely, 2^312122420 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 312122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343586880).

312122420 is an abundant number, since it is smaller than the sum of its proper divisors (375051340).

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

312122420 is a wasteful number, since it uses less digits than its factorization.

312122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 312122420 is about 17666.9867266605. The cubic root of 312122420 is about 678.3309847179.

Adding to 312122420 its reverse (24221213), we get a palindrome (336343633).

The spelling of 312122420 in words is "three hundred twelve million, one hundred twenty-two thousand, four hundred twenty".