1081221120 has 336 divisors, whose sum is σ = 4293656640. Its totient is φ = 246546432.

The previous prime is 1081221077. The next prime is 1081221133. The reversal of 1081221120 is 211221801.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1081221120² = 2338078220668108800, which contains 22 as substring.

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 = 1081221093 and 1081221102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580271 + ... + 2580689.

It is an arithmetic number, because the mean of its divisors is an integer number (12778740).

Almost surely, 2^1081221120 is an apocalyptic number.

1081221120 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 1081221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146828320).

1081221120 is an abundant number, since it is smaller than the sum of its proper divisors (3212435520).

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

1081221120 is an equidigital number, since it uses as much as digits as its factorization.

1081221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1081221120 is about 32881.9269508343. The cubic root of 1081221120 is about 1026.3721049219.

Adding to 1081221120 its reverse (211221801), we get a palindrome (1292442921).

The spelling of 1081221120 in words is "one billion, eighty-one million, two hundred twenty-one thousand, one hundred twenty".