213203041200 has 180 divisors, whose sum is σ = 747200533248. Its totient is φ = 56291136000.

The previous prime is 213203041187. The next prime is 213203041237. The reversal of 213203041200 is 2140302312.

213203041200 is a `hidden beast` number, since 21 + 320 + 304 + 1 + 20 + 0 = 666.

213203041200 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 70417 + ... + 656783.

Almost surely, 2^213203041200 is an apocalyptic number.

213203041200 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 213203041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373600266624).

213203041200 is an abundant number, since it is smaller than the sum of its proper divisors (533997492048).

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

213203041200 is a wasteful number, since it uses less digits than its factorization.

213203041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586492 (or 586478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213203041200 its reverse (2140302312), we get a palindrome (215343343512).

The spelling of 213203041200 in words is "two hundred thirteen billion, two hundred three million, forty-one thousand, two hundred".