212995924200 has 288 divisors, whose sum is σ = 773314120800. Its totient is φ = 52354874880.

The previous prime is 212995924177. The next prime is 212995924283. The reversal of 212995924200 is 2429599212.

It is a happy number.

212995924200 is a `hidden beast` number, since 2 + 12 + 9 + 9 + 592 + 42 + 0 + 0 = 666.

212995924200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1181239 + ... + 1349561.

It is an arithmetic number, because the mean of its divisors is an integer number (2685118475).

Almost surely, 2^212995924200 is an apocalyptic number.

212995924200 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 212995924200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386657060400).

212995924200 is an abundant number, since it is smaller than the sum of its proper divisors (560318196600).

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

212995924200 is a wasteful number, since it uses less digits than its factorization.

212995924200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168401 (or 168389 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 212995924200 in words is "two hundred twelve billion, nine hundred ninety-five million, nine hundred twenty-four thousand, two hundred".