203442120 has 288 divisors, whose sum is σ = 810950400. Its totient is φ = 43981056.

The previous prime is 203442103. The next prime is 203442121. The reversal of 203442120 is 21244302.

203442120 is a `hidden beast` number, since 203 + 442 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203442093 and 203442102.

It is not an unprimeable number, because it can be changed into a prime (203442121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334857 + ... + 335463.

It is an arithmetic number, because the mean of its divisors is an integer number (2815800).

Almost surely, 2^203442120 is an apocalyptic number.

203442120 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 203442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405475200).

203442120 is an abundant number, since it is smaller than the sum of its proper divisors (607508280).

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

203442120 is a wasteful number, since it uses less digits than its factorization.

203442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203442120 is about 14263.3137804649. The cubic root of 203442120 is about 588.1394227207.

Adding to 203442120 its reverse (21244302), we get a palindrome (224686422).

The spelling of 203442120 in words is "two hundred three million, four hundred forty-two thousand, one hundred twenty".