1032221102112 has 288 divisors, whose sum is σ = 3003024024000. Its totient is φ = 336259123200.

The previous prime is 1032221102111. The next prime is 1032221102177. The reversal of 1032221102112 is 2112011222301.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1032221102111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1201653939 + ... + 1201654797.

It is an arithmetic number, because the mean of its divisors is an integer number (10427166750).

Almost surely, 2^{1032221102112} is an apocalyptic number.

1032221102112 is a gapful number since it is divisible by the number (12) 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 1032221102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501512012000).

1032221102112 is an abundant number, since it is smaller than the sum of its proper divisors (1970802921888).

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

1032221102112 is a wasteful number, since it uses less digits than its factorization.

1032221102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1032221102112 its reverse (2112011222301), we get a palindrome (3144232324413).

The spelling of 1032221102112 in words is "one trillion, thirty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred twelve".