203142120120 has 96 divisors (see below), whose sum is σ = 666748761120. Its totient is φ = 53634873600.

The previous prime is 203142120113. The next prime is 203142120149. The reversal of 203142120120 is 21021241302.

It is a happy number.

203142120120 is a `hidden beast` number, since 20 + 3 + 1 + 421 + 201 + 20 = 666.

203142120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 203142120093 and 203142120102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757124 + ... + 2829843.

It is an arithmetic number, because the mean of its divisors is an integer number (6945299595).

Almost surely, 2^203142120120 is an apocalyptic number.

203142120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203142120120 is an abundant number, since it is smaller than the sum of its proper divisors (463606641000).

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

203142120120 is a wasteful number, since it uses less digits than its factorization.

203142120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587085 (or 5587078 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 203142120120 its reverse (21021241302), we get a palindrome (224163361422).

The spelling of 203142120120 in words is "two hundred three billion, one hundred forty-two million, one hundred twenty thousand, one hundred twenty".