312132010200 has 384 divisors, whose sum is σ = 1009118269440. Its totient is φ = 79752960000.

The previous prime is 312132010181. The next prime is 312132010273. The reversal of 312132010200 is 2010231213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312132010200.

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 95 ways as a sum of consecutive naturals, for example, 724203985 + ... + 724204415.

It is an arithmetic number, because the mean of its divisors is an integer number (2627912160).

Almost surely, 2^312132010200 is an apocalyptic number.

312132010200 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 312132010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504559134720).

312132010200 is an abundant number, since it is smaller than the sum of its proper divisors (696986259240).

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

312132010200 is a wasteful number, since it uses less digits than its factorization.

312132010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 312132010200 its reverse (2010231213), we get a palindrome (314142241413).

The spelling of 312132010200 in words is "three hundred twelve billion, one hundred thirty-two million, ten thousand, two hundred".