1032210112320 has 504 divisors, whose sum is σ = 3703018165704. Its totient is φ = 274041667584.

The previous prime is 1032210112273. The next prime is 1032210112499. The reversal of 1032210112320 is 232110122301.

1032210112320 is a `hidden beast` number, since 1 + 0 + 322 + 10 + 1 + 12 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 593627102784 + 438583009536 = 770472^2 + 662256^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1032210112293 and 1032210112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 539575684 + ... + 539577596.

Almost surely, 2^{1032210112320} is an apocalyptic number.

1032210112320 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 1032210112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851509082852).

1032210112320 is an abundant number, since it is smaller than the sum of its proper divisors (2670808053384).

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

1032210112320 is an frugal number, since it uses more digits than its factorization.

1032210112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2180 counting only the distinct ones).

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

Adding to 1032210112320 its reverse (232110122301), we get a palindrome (1264320234621).

The spelling of 1032210112320 in words is "one trillion, thirty-two billion, two hundred ten million, one hundred twelve thousand, three hundred twenty".