1000123200 has 210 divisors, whose sum is σ = 3676677686. Its totient is φ = 266664960.

The previous prime is 1000123151. The next prime is 1000123213. The reversal of 1000123200 is 23210001.

It is a happy number.

1000123200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 59351616 + 940771584 = 7704^2 + 30672^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125742 + ... + 133458.

Almost surely, 2^1000123200 is an apocalyptic number.

1000123200 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 1000123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838338843).

1000123200 is an abundant number, since it is smaller than the sum of its proper divisors (2676554486).

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

1000123200 is an equidigital number, since it uses as much as digits as its factorization.

1000123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000123200 is about 31624.7245047289. The cubic root of 1000123200 is about 1000.0410649803.

Adding to 1000123200 its reverse (23210001), we get a palindrome (1023333201).

The spelling of 1000123200 in words is "one billion, one hundred twenty-three thousand, two hundred".