312111204144 has 80 divisors (see below), whose sum is σ = 817876224000. Its totient is φ = 102546183168.

The previous prime is 312111204143. The next prime is 312111204157. The reversal of 312111204144 is 441402111213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (312111204143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179257 + ... + 2318055.

It is an arithmetic number, because the mean of its divisors is an integer number (10223452800).

Almost surely, 2^312111204144 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 312111204144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408938112000).

312111204144 is an abundant number, since it is smaller than the sum of its proper divisors (505765019856).

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

312111204144 is a wasteful number, since it uses less digits than its factorization.

312111204144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139482 (or 139476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 312111204144 its reverse (441402111213), we get a palindrome (753513315357).

The spelling of 312111204144 in words is "three hundred twelve billion, one hundred eleven million, two hundred four thousand, one hundred forty-four".