6121304400 has 120 divisors (see below), whose sum is σ = 19734081184. Its totient is φ = 1621900800.

The previous prime is 6121304381. The next prime is 6121304429. The reversal of 6121304400 is 44031216.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 172155 + ... + 204645.

Almost surely, 2^6121304400 is an apocalyptic number.

6121304400 is a gapful number since it is divisible by the number (60) 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 6121304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9867040592).

6121304400 is an abundant number, since it is smaller than the sum of its proper divisors (13612776784).

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

6121304400 is a wasteful number, since it uses less digits than its factorization.

6121304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32669 (or 32658 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6121304400 is about 78238.7653276814. The cubic root of 6121304400 is about 1829.2847992041.

Adding to 6121304400 its reverse (44031216), we get a palindrome (6165335616).

The spelling of 6121304400 in words is "six billion, one hundred twenty-one million, three hundred four thousand, four hundred".