312000413121200 has 240 divisors, whose sum is σ = 797018285675040. Its totient is φ = 117035642880000.

The previous prime is 312000413121193. The next prime is 312000413121211. The reversal of 312000413121200 is 2121314000213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3731261792 + ... + 3731345408.

It is an arithmetic number, because the mean of its divisors is an integer number (3320909523646).

Almost surely, 2^{312000413121200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312000413121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398509142837520).

312000413121200 is an abundant number, since it is smaller than the sum of its proper divisors (485017872553840).

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

312000413121200 is a wasteful number, since it uses less digits than its factorization.

312000413121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88616 (or 88605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312000413121200 its reverse (2121314000213), we get a palindrome (314121727121413).

The spelling of 312000413121200 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred twenty-one thousand, two hundred".