611241120 has 768 divisors, whose sum is σ = 2743372800. Its totient is φ = 123863040.

The previous prime is 611241119. The next prime is 611241139. The reversal of 611241120 is 21142116.

611241120 is a `hidden beast` number, since 611 + 2 + 41 + 12 + 0 = 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 = 611241093 and 611241102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14908300 + ... + 14908340.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^611241120 is an apocalyptic number.

611241120 is a gapful number since it is divisible by the number (60) 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 611241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

611241120 is an abundant number, since it is smaller than the sum of its proper divisors (2132131680).

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

611241120 is a wasteful number, since it uses less digits than its factorization.

611241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 611241120 is about 24723.2910430630. The cubic root of 611241120 is about 848.6674020912.

Adding to 611241120 its reverse (21142116), we get a palindrome (632383236).

The spelling of 611241120 in words is "six hundred eleven million, two hundred forty-one thousand, one hundred twenty".