1203205200 has 120 divisors (see below), whose sum is σ = 3867648288. Its totient is φ = 319741440.

The previous prime is 1203205163. The next prime is 1203205219. The reversal of 1203205200 is 25023021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1203205200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378819 + ... + 381981.

Almost surely, 2^1203205200 is an apocalyptic number.

1203205200 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 1203205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933824144).

1203205200 is an abundant number, since it is smaller than the sum of its proper divisors (2664443088).

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

1203205200 is a wasteful number, since it uses less digits than its factorization.

1203205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1203205200 is about 34687.2483774657. The cubic root of 1203205200 is about 1063.6038484140.

Adding to 1203205200 its reverse (25023021), we get a palindrome (1228228221).

It can be divided in two parts, 1203 and 205200, that added together give a triangular number (206403 = T₆₄₂).

The spelling of 1203205200 in words is "one billion, two hundred three million, two hundred five thousand, two hundred".