1032221131200 has 1008 divisors, whose sum is σ = 4316528563776. Its totient is φ = 229072896000.

The previous prime is 1032221131189. The next prime is 1032221131289. The reversal of 1032221131200 is 21311222301.

1032221131200 is a `hidden beast` number, since 10 + 322 + 2 + 1 + 131 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1032221131200² (a number of 25 digits) contains 22 as substring.

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, 539581444 + ... + 539583356.

Almost surely, 2^{1032221131200} is an apocalyptic number.

1032221131200 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 1032221131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158264281888).

1032221131200 is an abundant number, since it is smaller than the sum of its proper divisors (3284307432576).

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

1032221131200 is a wasteful number, since it uses less digits than its factorization.

1032221131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032221131200 its reverse (21311222301), we get a palindrome (1053532353501).

The spelling of 1032221131200 in words is "one trillion, thirty-two billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred".