312041100 has 144 divisors (see below), whose sum is σ = 1040211200. Its totient is φ = 70744320.

The previous prime is 312041077. The next prime is 312041101. The reversal of 312041100 is 1140213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (312041101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291366 + ... + 292434.

Almost surely, 2^312041100 is an apocalyptic number.

312041100 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 312041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520105600).

312041100 is an abundant number, since it is smaller than the sum of its proper divisors (728170100).

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

312041100 is a wasteful number, since it uses less digits than its factorization.

312041100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312041100 is about 17664.6851089964. The cubic root of 312041100 is about 678.2720690880.

Adding to 312041100 its reverse (1140213), we get a palindrome (313181313).

The spelling of 312041100 in words is "three hundred twelve million, forty-one thousand, one hundred".