203020413120 has 448 divisors, whose sum is σ = 822251888640. Its totient is φ = 46193504256.

The previous prime is 203020413103. The next prime is 203020413163. The reversal of 203020413120 is 21314020302.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 203020413093 and 203020413102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13479514 + ... + 13494566.

It is an arithmetic number, because the mean of its divisors is an integer number (1835383680).

Almost surely, 2^203020413120 is an apocalyptic number.

203020413120 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 203020413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411125944320).

203020413120 is an abundant number, since it is smaller than the sum of its proper divisors (619231475520).

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

203020413120 is a wasteful number, since it uses less digits than its factorization.

203020413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15309 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203020413120 its reverse (21314020302), we get a palindrome (224334433422).

The spelling of 203020413120 in words is "two hundred three billion, twenty million, four hundred thirteen thousand, one hundred twenty".