10682122240 has 120 divisors (see below), whose sum is σ = 26989522560. Its totient is φ = 4047372288.

The previous prime is 10682122237. The next prime is 10682122271. The reversal of 10682122240 is 4222128601.

It is a super-2 number, since 2×10682122240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10682122199 and 10682122208.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1553049 + ... + 1559911.

It is an arithmetic number, because the mean of its divisors is an integer number (224912688).

Almost surely, 2^10682122240 is an apocalyptic number.

10682122240 is a gapful number since it is divisible by the number (10) 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 10682122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494761280).

10682122240 is an abundant number, since it is smaller than the sum of its proper divisors (16307400320).

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

10682122240 is an frugal number, since it uses more digits than its factorization.

10682122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 10682122240 in words is "ten billion, six hundred eighty-two million, one hundred twenty-two thousand, two hundred forty".