312001200 has 240 divisors, whose sum is σ = 1269442560. Its totient is φ = 71297280.

The previous prime is 312001199. The next prime is 312001201. The reversal of 312001200 is 2100213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312001199) and next prime (312001201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (312001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73537 + ... + 77663.

It is an arithmetic number, because the mean of its divisors is an integer number (5289344).

Almost surely, 2^312001200 is an apocalyptic number.

312001200 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 312001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634721280).

312001200 is an abundant number, since it is smaller than the sum of its proper divisors (957441360).

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

312001200 is a wasteful number, since it uses less digits than its factorization.

312001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 312001200 is about 17663.5557009341. Note that the first 3 decimals coincide. The cubic root of 312001200 is about 678.2431581431.

Adding to 312001200 its reverse (2100213), we get a palindrome (314101413).

It can be divided in two parts, 31200 and 1200, that added together give a square (32400 = 180²).

The spelling of 312001200 in words is "three hundred twelve million, one thousand, two hundred".