6399001123200 has 768 divisors, whose sum is σ = 28172762304000. Its totient is φ = 1385645875200.

The previous prime is 6399001123199. The next prime is 6399001123231. The reversal of 6399001123200 is 23211009936.

It is a happy number.

6399001123200 is a `hidden beast` number, since 639 + 9 + 0 + 0 + 1 + 12 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 11212770 + ... + 11769630.

It is an arithmetic number, because the mean of its divisors is an integer number (36683284250).

Almost surely, 2^{6399001123200} is an apocalyptic number.

6399001123200 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 6399001123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086381152000).

6399001123200 is an abundant number, since it is smaller than the sum of its proper divisors (21773761180800).

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

6399001123200 is a wasteful number, since it uses less digits than its factorization.

6399001123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556920 (or 556897 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 6399001123200 in words is "six trillion, three hundred ninety-nine billion, one million, one hundred twenty-three thousand, two hundred".