1133220021120 has 576 divisors, whose sum is σ = 4311783796320. Its totient is φ = 274046361600.

The previous prime is 1133220021119. The next prime is 1133220021121. The reversal of 1133220021120 is 211200223311.

1133220021120 is a `hidden beast` number, since 11 + 332 + 200 + 2 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1133220021119) and next prime (1133220021121).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1133220021093 and 1133220021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133220021121) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 321296797 + ... + 321300323.

Almost surely, 2^{1133220021120} is an apocalyptic number.

1133220021120 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 1133220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155891898160).

1133220021120 is an abundant number, since it is smaller than the sum of its proper divisors (3178563775200).

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

1133220021120 is a wasteful number, since it uses less digits than its factorization.

1133220021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4009 counting only the distinct ones).

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

Adding to 1133220021120 its reverse (211200223311), we get a palindrome (1344420244431).

The spelling of 1133220021120 in words is "one trillion, one hundred thirty-three billion, two hundred twenty million, twenty-one thousand, one hundred twenty".