2123220211200 has 1200 divisors, whose sum is σ = 8679727336896. Its totient is φ = 508291891200.

The previous prime is 2123220211193. The next prime is 2123220211201. The reversal of 2123220211200 is 21120223212.

2123220211200 is a `hidden beast` number, since 2 + 1 + 232 + 20 + 211 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123220211201) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 946597279 + ... + 946599521.

Almost surely, 2^{2123220211200} is an apocalyptic number.

2123220211200 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 2123220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339863668448).

2123220211200 is an abundant number, since it is smaller than the sum of its proper divisors (6556507125696).

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

2123220211200 is a wasteful number, since it uses less digits than its factorization.

2123220211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2123220211200 its reverse (21120223212), we get a palindrome (2144340434412).

The spelling of 2123220211200 in words is "two trillion, one hundred twenty-three billion, two hundred twenty million, two hundred eleven thousand, two hundred".