1611321120 has 192 divisors, whose sum is σ = 5885187840. Its totient is φ = 410978304.

The previous prime is 1611321077. The next prime is 1611321133. The reversal of 1611321120 is 211231161.

1611321120 is a `hidden beast` number, since 1 + 611 + 32 + 1 + 1 + 20 = 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 = 1611321093 and 1611321102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91252 + ... + 107468.

It is an arithmetic number, because the mean of its divisors is an integer number (30652020).

Almost surely, 2^1611321120 is an apocalyptic number.

1611321120 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 1611321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942593920).

1611321120 is an abundant number, since it is smaller than the sum of its proper divisors (4273866720).

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

1611321120 is a wasteful number, since it uses less digits than its factorization.

1611321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1611321120 is about 40141.2645540720. The cubic root of 1611321120 is about 1172.3592107159.

Adding to 1611321120 its reverse (211231161), we get a palindrome (1822552281).

The spelling of 1611321120 in words is "one billion, six hundred eleven million, three hundred twenty-one thousand, one hundred twenty".