1033221021120 has 336 divisors, whose sum is σ = 3641132887392. Its totient is φ = 268775055360.

The previous prime is 1033221021089. The next prime is 1033221021143. The reversal of 1033221021120 is 211201223301.

1033221021120 is a `hidden beast` number, since 1 + 0 + 332 + 210 + 2 + 1 + 120 = 666.

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 = 1033221021093 and 1033221021102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105630630 + ... + 105640410.

It is an arithmetic number, because the mean of its divisors is an integer number (10836705022).

Almost surely, 2^{1033221021120} is an apocalyptic number.

1033221021120 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 1033221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820566443696).

1033221021120 is an abundant number, since it is smaller than the sum of its proper divisors (2607911866272).

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

1033221021120 is a wasteful number, since it uses less digits than its factorization.

1033221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700 (or 10687 counting only the distinct ones).

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

Adding to 1033221021120 its reverse (211201223301), we get a palindrome (1244422244421).

The spelling of 1033221021120 in words is "one trillion, thirty-three billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".