812255212800 has 432 divisors, whose sum is σ = 3153671902080. Its totient is φ = 203859394560.

The previous prime is 812255212787. The next prime is 812255212823. The reversal of 812255212800 is 8212552218.

812255212800 is a `hidden beast` number, since 8 + 1 + 22 + 552 + 1 + 2 + 80 + 0 = 666.

812255212800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2799349 + ... + 3075851.

It is an arithmetic number, because the mean of its divisors is an integer number (7300166440).

Almost surely, 2^812255212800 is an apocalyptic number.

812255212800 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 812255212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576835951040).

812255212800 is an abundant number, since it is smaller than the sum of its proper divisors (2341416689280).

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

812255212800 is a wasteful number, since it uses less digits than its factorization.

812255212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276555 (or 276530 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 812255212800 in words is "eight hundred twelve billion, two hundred fifty-five million, two hundred twelve thousand, eight hundred".