1032112221312 has 128 divisors (see below), whose sum is σ = 2801298297600. Its totient is φ = 336546775040.

The previous prime is 1032112221299. The next prime is 1032112221347. The reversal of 1032112221312 is 2131222112301.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38410762 + ... + 38437622.

It is an arithmetic number, because the mean of its divisors is an integer number (21885142950).

Almost surely, 2^{1032112221312} is an apocalyptic number.

1032112221312 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 1032112221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400649148800).

1032112221312 is an abundant number, since it is smaller than the sum of its proper divisors (1769186076288).

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

1032112221312 is a wasteful number, since it uses less digits than its factorization.

1032112221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29054 (or 29042 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1032112221312 its reverse (2131222112301), we get a palindrome (3163334333613).

The spelling of 1032112221312 in words is "one trillion, thirty-two billion, one hundred twelve million, two hundred twenty-one thousand, three hundred twelve".