203120400 has 120 divisors (see below), whose sum is σ = 743644864. Its totient is φ = 46425600.

The previous prime is 203120381. The next prime is 203120413. The reversal of 203120400 is 4021302.

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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691 + ... + 20490.

Almost surely, 2^203120400 is an apocalyptic number.

203120400 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 203120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371822432).

203120400 is an abundant number, since it is smaller than the sum of its proper divisors (540524464).

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

203120400 is a wasteful number, since it uses less digits than its factorization.

203120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24209 (or 24198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 203120400 is about 14252.0314341500. The cubic root of 203120400 is about 587.8292345061.

Adding to 203120400 its reverse (4021302), we get a palindrome (207141702).

The spelling of 203120400 in words is "two hundred three million, one hundred twenty thousand, four hundred".