1012300020 has 144 divisors (see below), whose sum is σ = 3339515088. Its totient is φ = 247173120.

The previous prime is 1012300019. The next prime is 1012300021. The reversal of 1012300020 is 200032101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012300019) and next prime (1012300021).

It can be written as a sum of positive squares in 8 ways, for example, as 142993764 + 869306256 = 11958^2 + 29484^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012299975 and 1012300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012300021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 108750 + ... + 117690.

It is an arithmetic number, because the mean of its divisors is an integer number (23191077).

Almost surely, 2^1012300020 is an apocalyptic number.

1012300020 is a gapful number since it is divisible by the number (10) 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 1012300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669757544).

1012300020 is an abundant number, since it is smaller than the sum of its proper divisors (2327215068).

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

1012300020 is a wasteful number, since it uses less digits than its factorization.

1012300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1012300020 is about 31816.6626156799. The cubic root of 1012300020 is about 1004.0833105474.

Adding to 1012300020 its reverse (200032101), we get a palindrome (1212332121).

The spelling of 1012300020 in words is "one billion, twelve million, three hundred thousand, twenty".