7821211242 has 48 divisors (see below), whose sum is σ = 17038435680. Its totient is φ = 2379298944.

The previous prime is 7821211241. The next prime is 7821211253. The reversal of 7821211242 is 2421121287.

It is a super-2 number, since 2×7821211242² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7821211241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 611509 + ... + 624167.

It is an arithmetic number, because the mean of its divisors is an integer number (354967410).

Almost surely, 2^7821211242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7821211242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519217840).

7821211242 is an abundant number, since it is smaller than the sum of its proper divisors (9217224438).

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

7821211242 is a wasteful number, since it uses less digits than its factorization.

7821211242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12766 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 7821211242 is about 88437.6121455119. The cubic root of 7821211242 is about 1984.9885468655.

The spelling of 7821211242 in words is "seven billion, eight hundred twenty-one million, two hundred eleven thousand, two hundred forty-two".