1211541120 has 192 divisors, whose sum is σ = 4328461800. Its totient is φ = 311894016.

The previous prime is 1211541113. The next prime is 1211541181. The reversal of 1211541120 is 211451121.

1211541120 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 541 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1082673216 + 128867904 = 32904^2 + 11352^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1211541093 and 1211541102.

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 23 ways as a sum of consecutive naturals, for example, 163414 + ... + 170666.

Almost surely, 2^1211541120 is an apocalyptic number.

1211541120 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 1211541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164230900).

1211541120 is an abundant number, since it is smaller than the sum of its proper divisors (3116920680).

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

1211541120 is a wasteful number, since it uses less digits than its factorization.

1211541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1211541120 is about 34807.1992553265. The cubic root of 1211541120 is about 1066.0544472916.

Adding to 1211541120 its reverse (211451121), we get a palindrome (1422992241).

It can be divided in two parts, 12115 and 41120, that added together give a palindrome (53235).

The spelling of 1211541120 in words is "one billion, two hundred eleven million, five hundred forty-one thousand, one hundred twenty".