312201441030400 has 216 divisors, whose sum is σ = 773618049588384. Its totient is φ = 124739948544000.

The previous prime is 312201441030389. The next prime is 312201441030421. The reversal of 312201441030400 is 4030144102213.

It is a super-2 number, since 2×312201441030400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26308365267 + ... + 26308377133.

Almost surely, 2^{312201441030400} 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 312201441030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386809024794192).

312201441030400 is an abundant number, since it is smaller than the sum of its proper divisors (461416608557984).

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

312201441030400 is a wasteful number, since it uses less digits than its factorization.

312201441030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312201441030400 its reverse (4030144102213), we get a palindrome (316231585132613).

The spelling of 312201441030400 in words is "three hundred twelve trillion, two hundred one billion, four hundred forty-one million, thirty thousand, four hundred".