213122230200000 has 1008 divisors, whose sum is σ = 842326014872160. Its totient is φ = 51085056000000.

The previous prime is 213122230199959. The next prime is 213122230200067. The reversal of 213122230200000 is 2032221312.

213122230200000 is a `hidden beast` number, since 213 + 1 + 22 + 230 + 200 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1762139530 + ... + 1762260470.

It is an arithmetic number, because the mean of its divisors is an integer number (835640887770).

Almost surely, 2^{213122230200000} is an apocalyptic number.

213122230200000 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 213122230200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421163007436080).

213122230200000 is an abundant number, since it is smaller than the sum of its proper divisors (629203784672160).

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

213122230200000 is a wasteful number, since it uses less digits than its factorization.

213122230200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121084 (or 121051 counting only the distinct ones).

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

Adding to 213122230200000 its reverse (2032221312), we get a palindrome (213124262421312).

The spelling of 213122230200000 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two hundred thirty million, two hundred thousand".