6122400433008 has 160 divisors (see below), whose sum is σ = 16191356544000. Its totient is φ = 1993140864000.

The previous prime is 6122400433007. The next prime is 6122400433033. The reversal of 6122400433008 is 8003340042216.

It is a self number, because there is not a number n which added to its sum of digits gives 6122400433008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6122400433007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102093433 + ... + 102153383.

It is an arithmetic number, because the mean of its divisors is an integer number (101195978400).

Almost surely, 2^{6122400433008} 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 6122400433008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095678272000).

6122400433008 is an abundant number, since it is smaller than the sum of its proper divisors (10068956110992).

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

6122400433008 is a wasteful number, since it uses less digits than its factorization.

6122400433008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60351 (or 60345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 6122400433008 in words is "six trillion, one hundred twenty-two billion, four hundred million, four hundred thirty-three thousand, eight".