6122087225856 has 1280 divisors, whose sum is σ = 22651635916800. Its totient is φ = 1614043791360.

The previous prime is 6122087225801. The next prime is 6122087225857. The reversal of 6122087225856 is 6585227802216.

6122087225856 is a `hidden beast` number, since 6 + 12 + 20 + 8 + 7 + 22 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6122087225857) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5228084151 + ... + 5228085321.

It is an arithmetic number, because the mean of its divisors is an integer number (17696590560).

Almost surely, 2^{6122087225856} 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 6122087225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325817958400).

6122087225856 is an abundant number, since it is smaller than the sum of its proper divisors (16529548690944).

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

6122087225856 is an equidigital number, since it uses as much as digits as its factorization.

6122087225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 6122087225856 in words is "six trillion, one hundred twenty-two billion, eighty-seven million, two hundred twenty-five thousand, eight hundred fifty-six".