203121120 has 96 divisors (see below), whose sum is σ = 657181728. Its totient is φ = 52697088.

The previous prime is 203121109. The next prime is 203121181. The reversal of 203121120 is 21121302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 203121096 and 203121105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12042 + ... + 23478.

It is an arithmetic number, because the mean of its divisors is an integer number (6845643).

Almost surely, 2^203121120 is an apocalyptic number.

203121120 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 203121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328590864).

203121120 is an abundant number, since it is smaller than the sum of its proper divisors (454060608).

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

203121120 is a wasteful number, since it uses less digits than its factorization.

203121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 203121120 is about 14252.0566936846. The cubic root of 203121120 is about 587.8299290639.

Adding to 203121120 its reverse (21121302), we get a palindrome (224242422).

The spelling of 203121120 in words is "two hundred three million, one hundred twenty-one thousand, one hundred twenty".