2130221233200 has 240 divisors, whose sum is σ = 6899224269600. Its totient is φ = 561813872640.

The previous prime is 2130221233187. The next prime is 2130221233211. The reversal of 2130221233200 is 23321220312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2130221233200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41634834 + ... + 41685966.

It is an arithmetic number, because the mean of its divisors is an integer number (28746767790).

Almost surely, 2^{2130221233200} is an apocalyptic number.

2130221233200 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 2130221233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449612134800).

2130221233200 is an abundant number, since it is smaller than the sum of its proper divisors (4769003036400).

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

2130221233200 is a wasteful number, since it uses less digits than its factorization.

2130221233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51536 (or 51525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2130221233200 its reverse (23321220312), we get a palindrome (2153542453512).

The spelling of 2130221233200 in words is "two trillion, one hundred thirty billion, two hundred twenty-one million, two hundred thirty-three thousand, two hundred".