312111030 has 192 divisors, whose sum is σ = 959745024. Its totient is φ = 63571200.

The previous prime is 312111029. The next prime is 312111047. The reversal of 312111030 is 30111213.

It is a junction number, because it is equal to n+sod(n) for n = 312110997 and 312111015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1804024 + ... + 1804196.

It is an arithmetic number, because the mean of its divisors is an integer number (4998672).

Almost surely, 2^312111030 is an apocalyptic number.

312111030 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 312111030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479872512).

312111030 is an abundant number, since it is smaller than the sum of its proper divisors (647633994).

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

312111030 is a wasteful number, since it uses less digits than its factorization.

312111030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 312111030 is about 17666.6643710690. The cubic root of 312111030 is about 678.3227333787.

Adding to 312111030 its reverse (30111213), we get a palindrome (342222243).

The spelling of 312111030 in words is "three hundred twelve million, one hundred eleven thousand, thirty".