3124330242000 has 320 divisors, whose sum is σ = 11004616516608. Its totient is φ = 756306240000.

The previous prime is 3124330241999. The next prime is 3124330242013. The reversal of 3124330242000 is 2420334213.

3124330242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3124330242000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45571747 + ... + 45640253.

Almost surely, 2^{3124330242000} is an apocalyptic number.

3124330242000 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 3124330242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502308258304).

3124330242000 is an abundant number, since it is smaller than the sum of its proper divisors (7880286274608).

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

3124330242000 is a wasteful number, since it uses less digits than its factorization.

3124330242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69235 (or 69219 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3124330242000 its reverse (2420334213), we get a palindrome (3126750576213).

The spelling of 3124330242000 in words is "three trillion, one hundred twenty-four billion, three hundred thirty million, two hundred forty-two thousand".