1032220213200 has 720 divisors, whose sum is σ = 4025091086016. Its totient is φ = 242760499200.

The previous prime is 1032220213183. The next prime is 1032220213229. The reversal of 1032220213200 is 23120222301.

1032220213200 is a `hidden beast` number, since 1 + 0 + 32 + 220 + 213 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 634430787 + ... + 634432413.

Almost surely, 2^{1032220213200} is an apocalyptic number.

1032220213200 is a gapful number since it is divisible by the number (10) 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 1032220213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012545543008).

1032220213200 is an abundant number, since it is smaller than the sum of its proper divisors (2992870872816).

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

1032220213200 is a wasteful number, since it uses less digits than its factorization.

1032220213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

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

Adding to 1032220213200 its reverse (23120222301), we get a palindrome (1055340435501).

The spelling of 1032220213200 in words is "one trillion, thirty-two billion, two hundred twenty million, two hundred thirteen thousand, two hundred".