212529198800 has 60 divisors (see below), whose sum is σ = 524401474476. Its totient is φ = 82714060800.

The previous prime is 212529198773. The next prime is 212529198823. The reversal of 212529198800 is 8891925212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36897799744 + 175631399056 = 192088^2 + 419084^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7165241 + ... + 7194840.

Almost surely, 2^212529198800 is an apocalyptic number.

212529198800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212529198800 is an abundant number, since it is smaller than the sum of its proper divisors (311872275676).

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

212529198800 is a wasteful number, since it uses less digits than its factorization.

212529198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360136 (or 14360125 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The spelling of 212529198800 in words is "two hundred twelve billion, five hundred twenty-nine million, one hundred ninety-eight thousand, eight hundred".