6212142720 has 1280 divisors, whose sum is σ = 28791417600. Its totient is φ = 1242169344.

The previous prime is 6212142709. The next prime is 6212142733. The reversal of 6212142720 is 272412126.

6212142720 is a `hidden beast` number, since 6 + 212 + 1 + 427 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 117210214 + ... + 117210266.

It is an arithmetic number, because the mean of its divisors is an integer number (22493295).

Almost surely, 2^6212142720 is an apocalyptic number.

6212142720 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 6212142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395708800).

6212142720 is an abundant number, since it is smaller than the sum of its proper divisors (22579274880).

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

6212142720 is a wasteful number, since it uses less digits than its factorization.

6212142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6212142720 is about 78817.1473728909. The cubic root of 6212142720 is about 1838.2890838331.

Adding to 6212142720 its reverse (272412126), we get a palindrome (6484554846).

The spelling of 6212142720 in words is "six billion, two hundred twelve million, one hundred forty-two thousand, seven hundred twenty".