312224212400240 has 40 divisors (see below), whose sum is σ = 829624335807840. Its totient is φ = 107048301394176.

The previous prime is 312224212400231. The next prime is 312224212400267. The reversal of 312224212400240 is 42004212422213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278771617655 + ... + 278771618774.

It is an arithmetic number, because the mean of its divisors is an integer number (20740608395196).

Almost surely, 2^{312224212400240} is an apocalyptic number.

It is an amenable number.

312224212400240 is an abundant number, since it is smaller than the sum of its proper divisors (517400123407600).

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

312224212400240 is a wasteful number, since it uses less digits than its factorization.

312224212400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557543236449 (or 557543236443 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 312224212400240 its reverse (42004212422213), we get a palindrome (354228424822453).

The spelling of 312224212400240 in words is "three hundred twelve trillion, two hundred twenty-four billion, two hundred twelve million, four hundred thousand, two hundred forty".