205001003120 has 80 divisors (see below), whose sum is σ = 501831586080. Its totient is φ = 77666227200.

The previous prime is 205001003099. The next prime is 205001003131. The reversal of 205001003120 is 21300100502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×205001003120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205001003095 and 205001003104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618490 + ... + 7645350.

It is an arithmetic number, because the mean of its divisors is an integer number (6272894826).

Almost surely, 2^205001003120 is an apocalyptic number.

205001003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205001003120 is an abundant number, since it is smaller than the sum of its proper divisors (296830582960).

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

205001003120 is a wasteful number, since it uses less digits than its factorization.

205001003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31914 (or 31908 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 205001003120 its reverse (21300100502), we get a palindrome (226301103622).

The spelling of 205001003120 in words is "two hundred five billion, one million, three thousand, one hundred twenty".