6812421120 has 528 divisors, whose sum is σ = 25750932480. Its totient is φ = 1658880000.

The previous prime is 6812421107. The next prime is 6812421127. The reversal of 6812421120 is 211242186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812421127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27140995 + ... + 27141245.

Almost surely, 2^6812421120 is an apocalyptic number.

6812421120 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 6812421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

6812421120 is an abundant number, since it is smaller than the sum of its proper divisors (18938511360).

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

6812421120 is a wasteful number, since it uses less digits than its factorization.

6812421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6812421120 is about 82537.3922534508. The cubic root of 6812421120 is about 1895.6893151133.

The spelling of 6812421120 in words is "six billion, eight hundred twelve million, four hundred twenty-one thousand, one hundred twenty".