6123401600 has 96 divisors (see below), whose sum is σ = 15196319040. Its totient is φ = 2438092800.

The previous prime is 6123401593. The next prime is 6123401623. The reversal of 6123401600 is 61043216.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 709310 + ... + 717890.

It is an arithmetic number, because the mean of its divisors is an integer number (158294990).

Almost surely, 2^6123401600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598159520).

6123401600 is an abundant number, since it is smaller than the sum of its proper divisors (9072917440).

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

6123401600 is a wasteful number, since it uses less digits than its factorization.

6123401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8811 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6123401600 is about 78252.1667431644. The cubic root of 6123401600 is about 1829.4936837703.

Adding to 6123401600 its reverse (61043216), we get a palindrome (6184444816).

The spelling of 6123401600 in words is "six billion, one hundred twenty-three million, four hundred one thousand, six hundred".