312142300430100 has 576 divisors, whose sum is σ = 1101852376934400. Its totient is φ = 66635846000640.

The previous prime is 312142300430039. The next prime is 312142300430101. The reversal of 312142300430100 is 1034003241213.

It is a happy number.

It is a super-3 number, since 3×312142300430100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142300430101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6812782392 + ... + 6812828208.

It is an arithmetic number, because the mean of its divisors is an integer number (1912938154400).

Almost surely, 2^{312142300430100} is an apocalyptic number.

312142300430100 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 312142300430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550926188467200).

312142300430100 is an abundant number, since it is smaller than the sum of its proper divisors (789710076504300).

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

312142300430100 is a wasteful number, since it uses less digits than its factorization.

312142300430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48272 (or 48265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312142300430100 its reverse (1034003241213), we get a palindrome (313176303671313).

The spelling of 312142300430100 in words is "three hundred twelve trillion, one hundred forty-two billion, three hundred million, four hundred thirty thousand, one hundred".