312002144212200 has 1152 divisors, whose sum is σ = 1140437743920000. Its totient is φ = 70257277009920.

The previous prime is 312002144212193. The next prime is 312002144212249. The reversal of 312002144212200 is 2212441200213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9051656566 + ... + 9051691034.

It is an arithmetic number, because the mean of its divisors is an integer number (989963319375).

Almost surely, 2^{312002144212200} is an apocalyptic number.

312002144212200 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 312002144212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570218871960000).

312002144212200 is an abundant number, since it is smaller than the sum of its proper divisors (828435599707800).

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

312002144212200 is a wasteful number, since it uses less digits than its factorization.

312002144212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34679 (or 34657 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 312002144212200 its reverse (2212441200213), we get a palindrome (314214585412413).

The spelling of 312002144212200 in words is "three hundred twelve trillion, two billion, one hundred forty-four million, two hundred twelve thousand, two hundred".