20300002120 has 64 divisors (see below), whose sum is σ = 46883985840. Its totient is φ = 7907712000.

The previous prime is 20300002103. The next prime is 20300002157. The reversal of 20300002120 is 2120000302.

It can be written as a sum of positive squares in 8 ways, for example, as 15977465604 + 4322536516 = 126402^2 + 65746^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20300002097 and 20300002106.

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 15 ways as a sum of consecutive naturals, for example, 205254 + ... + 287626.

Almost surely, 2^20300002120 is an apocalyptic number.

20300002120 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 20300002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23441992920).

20300002120 is an abundant number, since it is smaller than the sum of its proper divisors (26583983720).

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

20300002120 is a wasteful number, since it uses less digits than its factorization.

20300002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82546 (or 82542 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20300002120 its reverse (2120000302), we get a palindrome (22420002422).

The spelling of 20300002120 in words is "twenty billion, three hundred million, two thousand, one hundred twenty".