6121316400 has 240 divisors, whose sum is σ = 20342448000. Its totient is φ = 1572300800.

The previous prime is 6121316381. The next prime is 6121316413. The reversal of 6121316400 is 46131216.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4082851 + ... + 4084349.

It is an arithmetic number, because the mean of its divisors is an integer number (84760200).

Almost surely, 2^6121316400 is an apocalyptic number.

6121316400 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 6121316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171224000).

6121316400 is an abundant number, since it is smaller than the sum of its proper divisors (14221131600).

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

6121316400 is a wasteful number, since it uses less digits than its factorization.

6121316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6121316400 is about 78238.8420159706. The cubic root of 6121316400 is about 1829.2859945595.

Adding to 6121316400 its reverse (46131216), we get a palindrome (6167447616).

The spelling of 6121316400 in words is "six billion, one hundred twenty-one million, three hundred sixteen thousand, four hundred".