6122821985280 has 4400 divisors, whose sum is σ = 30770144121024. Its totient is φ = 1147095613440.

The previous prime is 6122821985233. The next prime is 6122821985299. The reversal of 6122821985280 is 825891282216.

6122821985280 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 8 + 21 + 98 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 142391208939 + ... + 142391208981.

Almost surely, 2^{6122821985280} is an apocalyptic number.

6122821985280 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 6122821985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385072060512).

6122821985280 is an abundant number, since it is smaller than the sum of its proper divisors (24647322135744).

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

6122821985280 is a wasteful number, since it uses less digits than its factorization.

6122821985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 6122821985280 in words is "six trillion, one hundred twenty-two billion, eight hundred twenty-one million, nine hundred eighty-five thousand, two hundred eighty".