3123126720 has 420 divisors, whose sum is σ = 12928564440. Its totient is φ = 713567232.

The previous prime is 3123126703. The next prime is 3123126731. The reversal of 3123126720 is 276213213.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1268851 + ... + 1271309.

Almost surely, 2^3123126720 is an apocalyptic number.

3123126720 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 3123126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464282220).

3123126720 is an abundant number, since it is smaller than the sum of its proper divisors (9805437720).

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

3123126720 is a wasteful number, since it uses less digits than its factorization.

3123126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3123126720 is about 55884.9418000950. The cubic root of 3123126720 is about 1461.7166771699.

Adding to 3123126720 its reverse (276213213), we get a palindrome (3399339933).

The spelling of 3123126720 in words is "three billion, one hundred twenty-three million, one hundred twenty-six thousand, seven hundred twenty".