6124256801082 has 256 divisors, whose sum is σ = 15836700672000. Its totient is φ = 1718283699648.

The previous prime is 6124256800951. The next prime is 6124256801101. The reversal of 6124256801082 is 2801086524216.

6124256801082 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 2 + 568 + 0 + 1 + 0 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3928323019 + ... + 3928324577.

It is an arithmetic number, because the mean of its divisors is an integer number (61862112000).

Almost surely, 2^{6124256801082} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6124256801082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918350336000).

6124256801082 is an abundant number, since it is smaller than the sum of its proper divisors (9712443870918).

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

6124256801082 is a wasteful number, since it uses less digits than its factorization.

6124256801082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6124256801082 in words is "six trillion, one hundred twenty-four billion, two hundred fifty-six million, eight hundred one thousand, eighty-two".