2010123200 has 84 divisors (see below), whose sum is σ = 4961564880. Its totient is φ = 801546240.

The previous prime is 2010123151. The next prime is 2010123253. The reversal of 2010123200 is 23210102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563021 + ... + 566579.

Almost surely, 2^2010123200 is an apocalyptic number.

2010123200 is a gapful number since it is divisible by the number (20) 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 2010123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480782440).

2010123200 is an abundant number, since it is smaller than the sum of its proper divisors (2951441680).

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

2010123200 is a wasteful number, since it uses less digits than its factorization.

2010123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2010123200 is about 44834.3975090555. The cubic root of 2010123200 is about 1262.0432121952.

Adding to 2010123200 its reverse (23210102), we get a palindrome (2033333302).

The spelling of 2010123200 in words is "two billion, ten million, one hundred twenty-three thousand, two hundred".