2200212220032 has 192 divisors, whose sum is σ = 6504365212800. Its totient is φ = 713372977152.

The previous prime is 2200212219977. The next prime is 2200212220057. The reversal of 2200212220032 is 2300222120022.

2200212220032 is a `hidden beast` number, since 2 + 200 + 212 + 220 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 2200212219987 and 2200212220014.

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 23 ways as a sum of consecutive naturals, for example, 220744713 + ... + 220754679.

It is an arithmetic number, because the mean of its divisors is an integer number (33876902150).

Almost surely, 2^{2200212220032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200212220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252182606400).

2200212220032 is an abundant number, since it is smaller than the sum of its proper divisors (4304152992768).

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

2200212220032 is a wasteful number, since it uses less digits than its factorization.

2200212220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203 (or 15188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2200212220032 its reverse (2300222120022), we get a palindrome (4500434340054).

The spelling of 2200212220032 in words is "two trillion, two hundred billion, two hundred twelve million, two hundred twenty thousand, thirty-two".