312214000244200 has 96 divisors (see below), whose sum is σ = 727696864877400. Its totient is φ = 124576061276160.

The previous prime is 312214000244171. The next prime is 312214000244207. The reversal of 312214000244200 is 2442000412213.

It can be written as a sum of positive squares in 12 ways, for example, as 18106931844 + 312195893312356 = 134562^2 + 17669066^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (312214000244207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3809630424 + ... + 3809712376.

Almost surely, 2^{312214000244200} 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 312214000244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363848432438700).

312214000244200 is an abundant number, since it is smaller than the sum of its proper divisors (415482864633200).

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

312214000244200 is a wasteful number, since it uses less digits than its factorization.

312214000244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128951 (or 128942 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 312214000244200 its reverse (2442000412213), we get a palindrome (314656000656413).

The spelling of 312214000244200 in words is "three hundred twelve trillion, two hundred fourteen billion, two hundred forty-four thousand, two hundred".