312011000 has 192 divisors, whose sum is σ = 880476480. Its totient is φ = 101337600.

The previous prime is 312010997. The next prime is 312011009. The reversal of 312011000 is 110213.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312011009) 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, 5886974 + ... + 5887026.

It is an arithmetic number, because the mean of its divisors is an integer number (4585815).

Almost surely, 2^312011000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440238240).

312011000 is an abundant number, since it is smaller than the sum of its proper divisors (568465480).

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

312011000 is a wasteful number, since it uses less digits than its factorization.

312011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 312011000 is about 17663.8331060956. The cubic root of 312011000 is about 678.2502593053.

Adding to 312011000 its reverse (110213), we get a palindrome (312121213).

The spelling of 312011000 in words is "three hundred twelve million, eleven thousand".