10122322000 has 120 divisors (see below), whose sum is σ = 28472095080. Its totient is φ = 3470476800.

The previous prime is 10122321977. The next prime is 10122322009. The reversal of 10122322000 is 22322101.

It can be written as a sum of positive squares in 4 ways, for example, as 2534518336 + 7587803664 = 50344^2 + 87108^2 .

It is a super-3 number, since 3×10122322000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122322009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46356 + ... + 149644.

It is an arithmetic number, because the mean of its divisors is an integer number (237267459).

Almost surely, 2^10122322000 is an apocalyptic number.

10122322000 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 10122322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236047540).

10122322000 is an abundant number, since it is smaller than the sum of its proper divisors (18349773080).

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

10122322000 is a wasteful number, since it uses less digits than its factorization.

10122322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103326 (or 103303 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10122322000 its reverse (22322101), we get a palindrome (10144644101).

The spelling of 10122322000 in words is "ten billion, one hundred twenty-two million, three hundred twenty-two thousand".