10122322344440 has 128 divisors (see below), whose sum is σ = 24595739320320. Its totient is φ = 3741413606400.

The previous prime is 10122322344391. The next prime is 10122322344467. The reversal of 10122322344440 is 4444322322101.

It is a happy number.

It is a super-2 number, since 2×10122322344440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122322344397 and 10122322344406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271379 + ... + 4507581.

It is an arithmetic number, because the mean of its divisors is an integer number (192154213440).

Almost surely, 2^{10122322344440} is an apocalyptic number.

10122322344440 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 10122322344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297869660160).

10122322344440 is an abundant number, since it is smaller than the sum of its proper divisors (14473416975880).

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

10122322344440 is a wasteful number, since it uses less digits than its factorization.

10122322344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236333 (or 4236329 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10122322344440 its reverse (4444322322101), we get a palindrome (14566644666541).

The spelling of 10122322344440 in words is "ten trillion, one hundred twenty-two billion, three hundred twenty-two million, three hundred forty-four thousand, four hundred forty".