3123312210240 has 224 divisors, whose sum is σ = 10421384856960. Its totient is φ = 791526629376.

The previous prime is 3123312210223. The next prime is 3123312210241. The reversal of 3123312210240 is 420122133213.

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 3123312210240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123312210241) 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, 504906 + ... + 2549814.

It is an arithmetic number, because the mean of its divisors is an integer number (46524039540).

Almost surely, 2^{3123312210240} is an apocalyptic number.

3123312210240 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 3123312210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210692428480).

3123312210240 is an abundant number, since it is smaller than the sum of its proper divisors (7298072646720).

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

3123312210240 is a wasteful number, since it uses less digits than its factorization.

3123312210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045009 (or 2044999 counting only the distinct ones).

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

Adding to 3123312210240 its reverse (420122133213), we get a palindrome (3543434343453).

The spelling of 3123312210240 in words is "three trillion, one hundred twenty-three billion, three hundred twelve million, two hundred ten thousand, two hundred forty".