10122244000 has 384 divisors, whose sum is σ = 28848089088. Its totient is φ = 3456000000.

The previous prime is 10122243919. The next prime is 10122244003. The reversal of 10122244000 is 44222101.

10122244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10122244003) 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 63 ways as a sum of consecutive naturals, for example, 55923910 + ... + 55924090.

It is an arithmetic number, because the mean of its divisors is an integer number (75125232).

Almost surely, 2^10122244000 is an apocalyptic number.

10122244000 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 10122244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424044544).

10122244000 is an abundant number, since it is smaller than the sum of its proper divisors (18725845088).

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

10122244000 is a wasteful number, since it uses less digits than its factorization.

10122244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10122244000 its reverse (44222101), we get a palindrome (10166466101).

The spelling of 10122244000 in words is "ten billion, one hundred twenty-two million, two hundred forty-four thousand".