312215040140300 has 288 divisors, whose sum is σ = 791805987840000. Its totient is φ = 105662090476800.

The previous prime is 312215040140293. The next prime is 312215040140317. The reversal of 312215040140300 is 3041040512213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312215040140300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328093787 + ... + 329044013.

Almost surely, 2^{312215040140300} 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 312215040140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395902993920000).

312215040140300 is an abundant number, since it is smaller than the sum of its proper divisors (479590947699700).

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

312215040140300 is a wasteful number, since it uses less digits than its factorization.

312215040140300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950549 (or 950542 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 312215040140300 its reverse (3041040512213), we get a palindrome (315256080652513).

The spelling of 312215040140300 in words is "three hundred twelve trillion, two hundred fifteen billion, forty million, one hundred forty thousand, three hundred".