10123012000 has 96 divisors (see below), whose sum is σ = 25172731584. Its totient is φ = 4000288000.

The previous prime is 10123011973. The next prime is 10123012007. The reversal of 10123012000 is 21032101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10123012007) 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, 316755 + ... + 347245.

It is an arithmetic number, because the mean of its divisors is an integer number (262215954).

Almost surely, 2^10123012000 is an apocalyptic number.

10123012000 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 10123012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12586365792).

10123012000 is an abundant number, since it is smaller than the sum of its proper divisors (15049719584).

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

10123012000 is an equidigital number, since it uses as much as digits as its factorization.

10123012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30599 (or 30581 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10123012000 its reverse (21032101), we get a palindrome (10144044101).

The spelling of 10123012000 in words is "ten billion, one hundred twenty-three million, twelve thousand".