312111360 has 288 divisors, whose sum is σ = 1209720960. Its totient is φ = 75571200.

The previous prime is 312111323. The next prime is 312111367. The reversal of 312111360 is 63111213.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312111367) 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, 379750 + ... + 380570.

It is an arithmetic number, because the mean of its divisors is an integer number (4200420).

Almost surely, 2^312111360 is an apocalyptic number.

312111360 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 312111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604860480).

312111360 is an abundant number, since it is smaller than the sum of its proper divisors (897609600).

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

312111360 is a wasteful number, since it uses less digits than its factorization.

312111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 312111360 is about 17666.6737106904. The cubic root of 312111360 is about 678.3229724458.

Adding to 312111360 its reverse (63111213), we get a palindrome (375222573).

The spelling of 312111360 in words is "three hundred twelve million, one hundred eleven thousand, three hundred sixty".