312142201213200 has 60 divisors (see below), whose sum is σ = 999895517890128. Its totient is φ = 83237920323200.

The previous prime is 312142201213187. The next prime is 312142201213207. The reversal of 312142201213200 is 2312102241213.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×312142201213200³ (a number of 44 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (312142201213207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130059249306 + ... + 130059251705.

Almost surely, 2^{312142201213200} is an apocalyptic number.

312142201213200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312142201213200 is an abundant number, since it is smaller than the sum of its proper divisors (687753316676928).

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

312142201213200 is a wasteful number, since it uses less digits than its factorization.

312142201213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260118501032 (or 260118501021 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312142201213200 its reverse (2312102241213), we get a palindrome (314454303454413).

The spelling of 312142201213200 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred one million, two hundred thirteen thousand, two hundred".