65121120 has 144 divisors (see below), whose sum is σ = 227852352. Its totient is φ = 16926720.

The previous prime is 65121103. The next prime is 65121127. The reversal of 65121120 is 2112156.

65121120 is a `hidden beast` number, since 651 + 2 + 1 + 12 + 0 = 666.

65121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 65121093 and 65121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65121127) by changing a digit.

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, 58489 + ... + 59591.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308).

Almost surely, 2^65121120 is an apocalyptic number.

65121120 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 65121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926176).

65121120 is an abundant number, since it is smaller than the sum of its proper divisors (162731232).

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

65121120 is a wasteful number, since it uses less digits than its factorization.

65121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 65121120 is about 8069.7657958580. The cubic root of 65121120 is about 402.3221595170.

Adding to 65121120 its reverse (2112156), we get a palindrome (67233276).

The spelling of 65121120 in words is "sixty-five million, one hundred twenty-one thousand, one hundred twenty".