61242120 has 96 divisors (see below), whose sum is σ = 200041920. Its totient is φ = 16248960.

The previous prime is 61242119. The next prime is 61242133. The reversal of 61242120 is 2124216.

61242120 is a `hidden beast` number, since 612 + 42 + 12 + 0 = 666.

61242120 is digitally balanced in base 2, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 61242093 and 61242102.

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 23 ways as a sum of consecutive naturals, for example, 111687 + ... + 112233.

It is an arithmetic number, because the mean of its divisors is an integer number (2083770).

Almost surely, 2^61242120 is an apocalyptic number.

61242120 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 61242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100020960).

61242120 is an abundant number, since it is smaller than the sum of its proper divisors (138799800).

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

61242120 is a wasteful number, since it uses less digits than its factorization.

61242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 61242120 is about 7825.7344703229. The cubic root of 61242120 is about 394.1698529859.

Adding to 61242120 its reverse (2124216), we get a palindrome (63366336).

The spelling of 61242120 in words is "sixty-one million, two hundred forty-two thousand, one hundred twenty".