3242124240000 has 640 divisors, whose sum is σ = 10961656896960. Its totient is φ = 848640000000.

The previous prime is 3242124239987. The next prime is 3242124240029. The reversal of 3242124240000 is 424212423.

3242124240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3242124240000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3175439490 + ... + 3175440510.

Almost surely, 2^{3242124240000} is an apocalyptic number.

3242124240000 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 3242124240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480828448480).

3242124240000 is an abundant number, since it is smaller than the sum of its proper divisors (7719532656960).

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

3242124240000 is a wasteful number, since it uses less digits than its factorization.

3242124240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3242124240000 its reverse (424212423), we get a palindrome (3242548452423).

The spelling of 3242124240000 in words is "three trillion, two hundred forty-two billion, one hundred twenty-four million, two hundred forty thousand".