203120000 has 80 divisors (see below), whose sum is σ = 505853700. Its totient is φ = 81216000.

The previous prime is 203119997. The next prime is 203120011. The reversal of 203120000 is 21302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 203120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78731 + ... + 81269.

Almost surely, 2^203120000 is an apocalyptic number.

203120000 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 203120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252926850).

203120000 is an abundant number, since it is smaller than the sum of its proper divisors (302733700).

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

203120000 is an frugal number, since it uses more digits than its factorization.

203120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 203120000 is about 14252.0174010559. The cubic root of 203120000 is about 587.8288486400.

Adding to 203120000 its reverse (21302), we get a palindrome (203141302).

The spelling of 203120000 in words is "two hundred three million, one hundred twenty thousand".