1032211211328 has 420 divisors, whose sum is σ = 3370031782656. Its totient is φ = 312160780800.

The previous prime is 1032211211327. The next prime is 1032211211377. The reversal of 1032211211328 is 8231121122301.

It is a happy number.

1032211211328 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 1 + 2 + 11 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1032211211327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 380747893 + ... + 380750603.

Almost surely, 2^{1032211211328} is an apocalyptic number.

1032211211328 is a gapful number since it is divisible by the number (18) 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 1032211211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685015891328).

1032211211328 is an abundant number, since it is smaller than the sum of its proper divisors (2337820571328).

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

1032211211328 is a wasteful number, since it uses less digits than its factorization.

1032211211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1032211211328 its reverse (8231121122301), we get a palindrome (9263332333629).

The spelling of 1032211211328 in words is "one trillion, thirty-two billion, two hundred eleven million, two hundred eleven thousand, three hundred twenty-eight".