1012200020 has 48 divisors (see below), whose sum is σ = 2296537488. Its totient is φ = 372526080.

The previous prime is 1012200017. The next prime is 1012200067. The reversal of 1012200020 is 200022101.

1012200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 105226564 + 906973456 = 10258^2 + 30116^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012199980 and 1012200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76280 + ... + 88560.

It is an arithmetic number, because the mean of its divisors is an integer number (47844531).

Almost surely, 2^1012200020 is an apocalyptic number.

1012200020 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 1012200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148268744).

1012200020 is an abundant number, since it is smaller than the sum of its proper divisors (1284337468).

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

1012200020 is a wasteful number, since it uses less digits than its factorization.

1012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1012200020 is about 31815.0910732627. The cubic root of 1012200020 is about 1004.0502466877.

Adding to 1012200020 its reverse (200022101), we get a palindrome (1212222121).

The spelling of 1012200020 in words is "one billion, twelve million, two hundred thousand, twenty".