203031312120 has 1536 divisors, whose sum is σ = 903484108800. Its totient is φ = 38332071936.

The previous prime is 203031312047. The next prime is 203031312131. The reversal of 203031312120 is 21213130302.

203031312120 is a `hidden beast` number, since 20 + 303 + 131 + 212 + 0 = 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 = 203031312093 and 203031312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1215756277 + ... + 1215756443.

It is an arithmetic number, because the mean of its divisors is an integer number (588205800).

Almost surely, 2^203031312120 is an apocalyptic number.

203031312120 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 203031312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451742054400).

203031312120 is an abundant number, since it is smaller than the sum of its proper divisors (700452796680).

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

203031312120 is a wasteful number, since it uses less digits than its factorization.

203031312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203031312120 its reverse (21213130302), we get a palindrome (224244442422).

The spelling of 203031312120 in words is "two hundred three billion, thirty-one million, three hundred twelve thousand, one hundred twenty".