1012180800 has 168 divisors, whose sum is σ = 3335300416. Its totient is φ = 268738560.

The previous prime is 1012180781. The next prime is 1012180811. The reversal of 1012180800 is 80812101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2078157 + ... + 2078643.

Almost surely, 2^1012180800 is an apocalyptic number.

1012180800 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 1012180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667650208).

1012180800 is an abundant number, since it is smaller than the sum of its proper divisors (2323119616).

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

1012180800 is a wasteful number, since it uses less digits than its factorization.

1012180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 1012180800 is about 31814.7890139162. The cubic root of 1012180800 is about 1004.0438915644.

Adding to 1012180800 its reverse (80812101), we get a palindrome (1092992901).

The spelling of 1012180800 in words is "one billion, twelve million, one hundred eighty thousand, eight hundred".