203002120113120 has 576 divisors, whose sum is σ = 737006934343680. Its totient is φ = 50802561331200.

The previous prime is 203002120113113. The next prime is 203002120113181. The reversal of 203002120113120 is 21311021200302.

203002120113120 is a `hidden beast` number, since 2 + 0 + 300 + 21 + 20 + 11 + 312 + 0 = 666.

It is a super-2 number, since 2×203002120113120² (a number of 29 digits) contains 22 as substring.

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 = 203002120113093 and 203002120113102.

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 95 ways as a sum of consecutive naturals, for example, 228246885 + ... + 229134555.

It is an arithmetic number, because the mean of its divisors is an integer number (1279525927680).

Almost surely, 2^{203002120113120} is an apocalyptic number.

203002120113120 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 203002120113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368503467171840).

203002120113120 is an abundant number, since it is smaller than the sum of its proper divisors (534004814230560).

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

203002120113120 is a wasteful number, since it uses less digits than its factorization.

203002120113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887879 (or 887868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 203002120113120 its reverse (21311021200302), we get a palindrome (224313141313422).

The spelling of 203002120113120 in words is "two hundred three trillion, two billion, one hundred twenty million, one hundred thirteen thousand, one hundred twenty".