312540000 has 120 divisors (see below), whose sum is σ = 1025390520. Its totient is φ = 83328000.

The previous prime is 312539977. The next prime is 312540023. The reversal of 312540000 is 45213.

It is an interprime number because it is at equal distance from previous prime (312539977) and next prime (312540023).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57396 + ... + 62604.

It is an arithmetic number, because the mean of its divisors is an integer number (8544921).

Almost surely, 2^312540000 is an apocalyptic number.

312540000 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 312540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512695260).

312540000 is an abundant number, since it is smaller than the sum of its proper divisors (712850520).

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

312540000 is an equidigital number, since it uses as much as digits as its factorization.

312540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 312540000 is about 17678.8008643120. The cubic root of 312540000 is about 678.6333567014.

Adding to 312540000 its reverse (45213), we get a palindrome (312585213).

It can be divided in two parts, 3125 and 40000, that multiplied together give a cube (125000000 = 500³).

The spelling of 312540000 in words is "three hundred twelve million, five hundred forty thousand".