312201310320240 has 160 divisors (see below), whose sum is σ = 1055993315530752. Its totient is φ = 75671886720000.

The previous prime is 312201310320233. The next prime is 312201310320241. The reversal of 312201310320240 is 42023013102213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312201310320240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312201310320241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4678945 + ... + 25422335.

Almost surely, 2^{312201310320240} is an apocalyptic number.

312201310320240 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 312201310320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527996657765376).

312201310320240 is an abundant number, since it is smaller than the sum of its proper divisors (743792005210512).

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

312201310320240 is a wasteful number, since it uses less digits than its factorization.

312201310320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20749119 (or 20749113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312201310320240 its reverse (42023013102213), we get a palindrome (354224323422453).

The spelling of 312201310320240 in words is "three hundred twelve trillion, two hundred one billion, three hundred ten million, three hundred twenty thousand, two hundred forty".