2122013230200 has 240 divisors, whose sum is σ = 7373201913000. Its totient is φ = 565629454080.

The previous prime is 2122013230199. The next prime is 2122013230213. The reversal of 2122013230200 is 20323102212.

2122013230200 is a `hidden beast` number, since 2 + 1 + 220 + 13 + 230 + 200 = 666.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 39809166 + ... + 39862434.

Almost surely, 2^{2122013230200} is an apocalyptic number.

2122013230200 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 2122013230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686600956500).

2122013230200 is an abundant number, since it is smaller than the sum of its proper divisors (5251188682800).

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

2122013230200 is a wasteful number, since it uses less digits than its factorization.

2122013230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55756 (or 55738 counting only the distinct ones).

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

Adding to 2122013230200 its reverse (20323102212), we get a palindrome (2142336332412).

The spelling of 2122013230200 in words is "two trillion, one hundred twenty-two billion, thirteen million, two hundred thirty thousand, two hundred".