1122011221120 has 64 divisors (see below), whose sum is σ = 2732917744440. Its totient is φ = 440336465920.

The previous prime is 1122011221061. The next prime is 1122011221141. The reversal of 1122011221120 is 211221102211.

It can be written as a sum of positive squares in 4 ways, for example, as 1033345439296 + 88665781824 = 1016536^2 + 297768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122011221094 and 1122011221103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16505161 + ... + 16573000.

Almost surely, 2^{1122011221120} is an apocalyptic number.

1122011221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122011221120 is an abundant number, since it is smaller than the sum of its proper divisors (1610906523320).

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

1122011221120 is an equidigital number, since it uses as much as digits as its factorization.

1122011221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33078233 (or 33078221 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122011221120 its reverse (211221102211), we get a palindrome (1333232323331).

The spelling of 1122011221120 in words is "one trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand, one hundred twenty".