810012000 has 192 divisors, whose sum is σ = 3032999424. Its totient is φ = 185126400.

The previous prime is 810011921. The next prime is 810012001. The reversal of 810012000 is 210018.

It is a happy number.

It is a super-2 number, since 2×810012000² = 1312238880288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810012001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79179 + ... + 88821.

It is an arithmetic number, because the mean of its divisors is an integer number (15796872).

Almost surely, 2^810012000 is an apocalyptic number.

810012000 is a gapful number since it is divisible by the number (80) 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 810012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516499712).

810012000 is an abundant number, since it is smaller than the sum of its proper divisors (2222987424).

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

810012000 is a wasteful number, since it uses less digits than its factorization.

810012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 810012000 is about 28460.7097592453. The cubic root of 810012000 is about 932.1743550708.

Adding to 810012000 its reverse (210018), we get a palindrome (810222018).

It can be divided in two parts, 8100 and 12000, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 810012000 in words is "eight hundred ten million, twelve thousand".