2130333223200 has 1152 divisors, whose sum is σ = 8846460790272. Its totient is φ = 433272913920.

The previous prime is 2130333223159. The next prime is 2130333223211. The reversal of 2130333223200 is 23223330312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 913129234 + ... + 913131566.

It is an arithmetic number, because the mean of its divisors is an integer number (7679219436).

Almost surely, 2^{2130333223200} is an apocalyptic number.

2130333223200 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 2130333223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423230395136).

2130333223200 is an abundant number, since it is smaller than the sum of its proper divisors (6716127567072).

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

2130333223200 is a wasteful number, since it uses less digits than its factorization.

2130333223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2130333223200 its reverse (23223330312), we get a palindrome (2153556553512).

The spelling of 2130333223200 in words is "two trillion, one hundred thirty billion, three hundred thirty-three million, two hundred twenty-three thousand, two hundred".