312204024123040 has 384 divisors, whose sum is σ = 874333508428800. Its totient is φ = 103118239531008.

The previous prime is 312204024123031. The next prime is 312204024123049. The reversal of 312204024123040 is 40321420402213.

It is an interprime number because it is at equal distance from previous prime (312204024123031) and next prime (312204024123049).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (312204024123049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1932556509 + ... + 1932718051.

It is an arithmetic number, because the mean of its divisors is an integer number (2276910178200).

Almost surely, 2^{312204024123040} 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 312204024123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437166754214400).

312204024123040 is an abundant number, since it is smaller than the sum of its proper divisors (562129484305760).

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

312204024123040 is a wasteful number, since it uses less digits than its factorization.

312204024123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162064 (or 162056 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312204024123040 its reverse (40321420402213), we get a palindrome (352525444525253).

The spelling of 312204024123040 in words is "three hundred twelve trillion, two hundred four billion, twenty-four million, one hundred twenty-three thousand, forty".