10001200 has 60 divisors (see below), whose sum is σ = 26223768. Its totient is φ = 3635200.

The previous prime is 10001119. The next prime is 10001203. The reversal of 10001200 is 210001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10001200.

It is not an unprimeable number, because it can be changed into a prime (10001203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3264 + ... + 5536.

Almost surely, 2^10001200 is an apocalyptic number.

10001200 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 10001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111884).

10001200 is an abundant number, since it is smaller than the sum of its proper divisors (16222568).

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

10001200 is a wasteful number, since it uses less digits than its factorization.

10001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10001200 is about 3162.4673911362. The cubic root of 10001200 is about 215.4520863973.

Adding to 10001200 its reverse (210001), we get a palindrome (10211201).

It can be divided in two parts, 10001 and 200, that added together give a palindrome (10201).

The spelling of 10001200 in words is "ten million, one thousand, two hundred".