312211140 has 96 divisors (see below), whose sum is σ = 898200576. Its totient is φ = 81002880.

The previous prime is 312211139. The next prime is 312211147. The reversal of 312211140 is 41112213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (312211147) 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, 353139 + ... + 354021.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2^312211140 is an apocalyptic number.

312211140 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 312211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288).

312211140 is an abundant number, since it is smaller than the sum of its proper divisors (585989436).

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

312211140 is a wasteful number, since it uses less digits than its factorization.

312211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 312211140 is about 17669.4974461641. The cubic root of 312211140 is about 678.3952499120.

Adding to 312211140 its reverse (41112213), we get a palindrome (353323353).

The spelling of 312211140 in words is "three hundred twelve million, two hundred eleven thousand, one hundred forty".