312041432342100 has 288 divisors, whose sum is σ = 919648890703872. Its totient is φ = 81677030400000.

The previous prime is 312041432342099. The next prime is 312041432342111. The reversal of 312041432342100 is 1243234140213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5237234310 + ... + 5237293890.

It is an arithmetic number, because the mean of its divisors is an integer number (3193225314944).

Almost surely, 2^{312041432342100} is an apocalyptic number.

312041432342100 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 312041432342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459824445351936).

312041432342100 is an abundant number, since it is smaller than the sum of its proper divisors (607607458361772).

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

312041432342100 is a wasteful number, since it uses less digits than its factorization.

312041432342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61187 (or 61180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312041432342100 its reverse (1243234140213), we get a palindrome (313284666482313).

The spelling of 312041432342100 in words is "three hundred twelve trillion, forty-one billion, four hundred thirty-two million, three hundred forty-two thousand, one hundred".