312145110 has 128 divisors (see below), whose sum is σ = 889574400. Its totient is φ = 77656320.

The previous prime is 312145103. The next prime is 312145133. The reversal of 312145110 is 11541213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363802 + ... + 364658.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2^312145110 is an apocalyptic number.

312145110 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 312145110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

312145110 is an abundant number, since it is smaller than the sum of its proper divisors (577429290).

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

312145110 is a wasteful number, since it uses less digits than its factorization.

312145110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 312145110 is about 17667.6288731680. The cubic root of 312145110 is about 678.3474215988.

Adding to 312145110 its reverse (11541213), we get a palindrome (323686323).

The spelling of 312145110 in words is "three hundred twelve million, one hundred forty-five thousand, one hundred ten".