10422120340 has 72 divisors (see below), whose sum is σ = 23080017240. Its totient is φ = 3948532224.

The previous prime is 10422120329. The next prime is 10422120353. The reversal of 10422120340 is 4302122401.

It can be written as a sum of positive squares in 12 ways, for example, as 3045715344 + 7376404996 = 55188^2 + 85886^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626022 + ... + 1632418.

It is an arithmetic number, because the mean of its divisors is an integer number (320555795).

Almost surely, 2^10422120340 is an apocalyptic number.

10422120340 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 10422120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540008620).

10422120340 is an abundant number, since it is smaller than the sum of its proper divisors (12657896900).

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

10422120340 is a wasteful number, since it uses less digits than its factorization.

10422120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10422120340 its reverse (4302122401), we get a palindrome (14724242741).

The spelling of 10422120340 in words is "ten billion, four hundred twenty-two million, one hundred twenty thousand, three hundred forty".