261121120 has 48 divisors (see below), whose sum is σ = 664357680. Its totient is φ = 96413184.

The previous prime is 261121103. The next prime is 261121141. The reversal of 261121120 is 21121162.

261121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 261121094 and 261121103.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 60690 + ... + 64849.

It is an arithmetic number, because the mean of its divisors is an integer number (13840785).

Almost surely, 2^261121120 is an apocalyptic number.

261121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261121120 is an abundant number, since it is smaller than the sum of its proper divisors (403236560).

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

261121120 is a wasteful number, since it uses less digits than its factorization.

261121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125567 (or 125559 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 261121120 is about 16159.2425565062. The cubic root of 261121120 is about 639.1664930747.

Adding to 261121120 its reverse (21121162), we get a palindrome (282242282).

The spelling of 261121120 in words is "two hundred sixty-one million, one hundred twenty-one thousand, one hundred twenty".