312030180 has 288 divisors, whose sum is σ = 1207664640. Its totient is φ = 63325440.

The previous prime is 312030143. The next prime is 312030181. The reversal of 312030180 is 81030213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312030181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 651181 + ... + 651659.

It is an arithmetic number, because the mean of its divisors is an integer number (4193280).

Almost surely, 2^312030180 is an apocalyptic number.

312030180 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 312030180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

312030180 is an abundant number, since it is smaller than the sum of its proper divisors (895634460).

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

312030180 is a wasteful number, since it uses less digits than its factorization.

312030180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 312030180 is about 17664.3760150196. The cubic root of 312030180 is about 678.2641568638.

Adding to 312030180 its reverse (81030213), we get a palindrome (393060393).

The spelling of 312030180 in words is "three hundred twelve million, thirty thousand, one hundred eighty".