6122041414800 has 120 divisors (see below), whose sum is σ = 19624726210944. Its totient is φ = 1631396666880.

The previous prime is 6122041414777. The next prime is 6122041414813. The reversal of 6122041414800 is 84141402216.

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

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, 84987 + ... + 3500186.

Almost surely, 2^{6122041414800} is an apocalyptic number.

6122041414800 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 6122041414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812363105472).

6122041414800 is an abundant number, since it is smaller than the sum of its proper divisors (13502684796144).

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

6122041414800 is a wasteful number, since it uses less digits than its factorization.

6122041414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586617 (or 3586606 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 6122041414800 in words is "six trillion, one hundred twenty-two billion, forty-one million, four hundred fourteen thousand, eight hundred".