212045500800 has 1728 divisors, whose sum is σ = 944714534400. Its totient is φ = 45047439360.

The previous prime is 212045500789. The next prime is 212045500819. The reversal of 212045500800 is 8005540212.

It is a happy number.

212045500800 is a `hidden beast` number, since 21 + 20 + 45 + 500 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1525507131 + ... + 1525507269.

It is an arithmetic number, because the mean of its divisors is an integer number (546709800).

Almost surely, 2^212045500800 is an apocalyptic number.

212045500800 is a gapful number since it is divisible by the number (20) 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 212045500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472357267200).

212045500800 is an abundant number, since it is smaller than the sum of its proper divisors (732669033600).

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

212045500800 is a wasteful number, since it uses less digits than its factorization.

212045500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 212045500800 in words is "two hundred twelve billion, forty-five million, five hundred thousand, eight hundred".