312141044000 has 192 divisors, whose sum is σ = 808941893760. Its totient is φ = 118043827200.

The previous prime is 312141043967. The next prime is 312141044009. The reversal of 312141044000 is 440141213.

It is a super-3 number, since 3×312141044000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (312141044009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39744074 + ... + 39751926.

It is an arithmetic number, because the mean of its divisors is an integer number (4213239030).

Almost surely, 2^312141044000 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 312141044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404470946880).

312141044000 is an abundant number, since it is smaller than the sum of its proper divisors (496800849760).

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

312141044000 is a wasteful number, since it uses less digits than its factorization.

312141044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8402 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312141044000 its reverse (440141213), we get a palindrome (312581185213).

The spelling of 312141044000 in words is "three hundred twelve billion, one hundred forty-one million, forty-four thousand".