212904225800 has 324 divisors, whose sum is σ = 593252429805. Its totient is φ = 70850183040.

The previous prime is 212904225799. The next prime is 212904225839. The reversal of 212904225800 is 8522409212.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 208646141284 + 4258084516 = 456778^2 + 65254^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=326270.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 80 ways as a sum of consecutive naturals, for example, 2694990161 + ... + 2694990239.

Almost surely, 2^212904225800 is an apocalyptic number.

212904225800 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 212904225800

212904225800 is an abundant number, since it is smaller than the sum of its proper divisors (380348204005).

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

212904225800 is an equidigital number, since it uses as much as digits as its factorization.

212904225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 212904225800 in words is "two hundred twelve billion, nine hundred four million, two hundred twenty-five thousand, eight hundred".