3300124122240 has 768 divisors, whose sum is σ = 11775639859200. Its totient is φ = 779575910400.

The previous prime is 3300124122233. The next prime is 3300124122241. The reversal of 3300124122240 is 422214210033.

It is a happy number.

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 3300124122240.

It is not an unprimeable number, because it can be changed into a prime (3300124122241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14798762769 + ... + 14798762991.

It is an arithmetic number, because the mean of its divisors is an integer number (15332864400).

Almost surely, 2^{3300124122240} is an apocalyptic number.

3300124122240 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 3300124122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887819929600).

3300124122240 is an abundant number, since it is smaller than the sum of its proper divisors (8475515736960).

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

3300124122240 is a wasteful number, since it uses less digits than its factorization.

3300124122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3300124122240 its reverse (422214210033), we get a palindrome (3722338332273).

The spelling of 3300124122240 in words is "three trillion, three hundred billion, one hundred twenty-four million, one hundred twenty-two thousand, two hundred forty".