312111125664000 has 1152 divisors, whose sum is σ = 1132655864610816. Its totient is φ = 75714785280000.

The previous prime is 312111125663947. The next prime is 312111125664007. The reversal of 312111125664000 is 466521111213.

It is not an unprimeable number, because it can be changed into a prime (312111125664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44644700505 + ... + 44644707495.

It is an arithmetic number, because the mean of its divisors is an integer number (983208215808).

Almost surely, 2^{312111125664000} is an apocalyptic number.

312111125664000 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 312111125664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566327932305408).

312111125664000 is an abundant number, since it is smaller than the sum of its proper divisors (820544738946816).

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

312111125664000 is a wasteful number, since it uses less digits than its factorization.

312111125664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 312111125664000 its reverse (466521111213), we get a palindrome (312577646775213).

The spelling of 312111125664000 in words is "three hundred twelve trillion, one hundred eleven billion, one hundred twenty-five million, six hundred sixty-four thousand".