10123112000 has 112 divisors (see below), whose sum is σ = 25879226880. Its totient is φ = 3918528000.

The previous prime is 10123111993. The next prime is 10123112003. The reversal of 10123112000 is 21132101.

It is not an unprimeable number, because it can be changed into a prime (10123112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227591 + ... + 268409.

Almost surely, 2^10123112000 is an apocalyptic number.

10123112000 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 10123112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939613440).

10123112000 is an abundant number, since it is smaller than the sum of its proper divisors (15756114880).

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

10123112000 is an equidigital number, since it uses as much as digits as its factorization.

10123112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40877 (or 40857 counting only the distinct ones).

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

Adding to 10123112000 its reverse (21132101), we get a palindrome (10144244101).

The spelling of 10123112000 in words is "ten billion, one hundred twenty-three million, one hundred twelve thousand".