10122311000 has 128 divisors (see below), whose sum is σ = 24247978560. Its totient is φ = 3953664000.

The previous prime is 10122310981. The next prime is 10122311011. The reversal of 10122311000 is 11322101.

10122311000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122311000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17542712 + ... + 17543288.

Almost surely, 2^10122311000 is an apocalyptic number.

10122311000 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 10122311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123989280).

10122311000 is an abundant number, since it is smaller than the sum of its proper divisors (14125667560).

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

10122311000 is a wasteful number, since it uses less digits than its factorization.

10122311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10122311000 its reverse (11322101), we get a palindrome (10133633101).

The spelling of 10122311000 in words is "ten billion, one hundred twenty-two million, three hundred eleven thousand".