312001101000000 has 588 divisors, whose sum is σ = 1118426096540844. Its totient is φ = 83157734400000.

The previous prime is 312001100999999. The next prime is 312001101000019. The reversal of 312001101000000 is 101100213.

It can be written as a sum of positive squares in 14 ways, for example, as 311585478382656 + 415622617344 = 17651784^2 + 644688^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 20132992252 + ... + 20133007748.

Almost surely, 2^{312001101000000} is an apocalyptic number.

312001101000000 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 312001101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559213048270422).

312001101000000 is an abundant number, since it is smaller than the sum of its proper divisors (806424995540844).

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

312001101000000 is an equidigital number, since it uses as much as digits as its factorization.

312001101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17782 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 312001101000000 its reverse (101100213), we get a palindrome (312001202100213).

The spelling of 312001101000000 in words is "three hundred twelve trillion, one billion, one hundred one million", and thus it is an aban number.