812232000 has 336 divisors, whose sum is σ = 3013405200. Its totient is φ = 208588800.

The previous prime is 812231993. The next prime is 812232013. The reversal of 812232000 is 232218.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 363131136 + 449100864 = 19056^2 + 21192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087806 + ... + 2088194.

Almost surely, 2^812232000 is an apocalyptic number.

812232000 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 812232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506702600).

812232000 is an abundant number, since it is smaller than the sum of its proper divisors (2201173200).

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

812232000 is a wasteful number, since it uses less digits than its factorization.

812232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 812232000 is about 28499.6842087768. The cubic root of 812232000 is about 933.0251817178.

Adding to 812232000 its reverse (232218), we get a palindrome (812464218).

The spelling of 812232000 in words is "eight hundred twelve million, two hundred thirty-two thousand".