312141402032010 has 256 divisors, whose sum is σ = 818374603737600. Its totient is φ = 75931250688000.

The previous prime is 312141402031957. The next prime is 312141402032041. The reversal of 312141402032010 is 10230204141213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 748028706 + ... + 748445874.

It is an arithmetic number, because the mean of its divisors is an integer number (3196775795850).

Almost surely, 2^{312141402032010} is an apocalyptic number.

312141402032010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312141402032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409187301868800).

312141402032010 is an abundant number, since it is smaller than the sum of its proper divisors (506233201705590).

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

312141402032010 is a wasteful number, since it uses less digits than its factorization.

312141402032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417657.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312141402032010 its reverse (10230204141213), we get a palindrome (322371606173223).

The spelling of 312141402032010 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred two million, thirty-two thousand, ten".