66120120 has 192 divisors, whose sum is σ = 239241600. Its totient is φ = 15701760.

The previous prime is 66120107. The next prime is 66120127. The reversal of 66120120 is 2102166.

It is a happy number.

66120120 is a `hidden beast` number, since 661 + 2 + 0 + 1 + 2 + 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 = 66120093 and 66120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66120127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233499 + ... + 233781.

It is an arithmetic number, because the mean of its divisors is an integer number (1246050).

Almost surely, 2^66120120 is an apocalyptic number.

66120120 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 66120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119620800).

66120120 is an abundant number, since it is smaller than the sum of its proper divisors (173121480).

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

66120120 is a wasteful number, since it uses less digits than its factorization.

66120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66120120 is about 8131.4279188836. The cubic root of 66120120 is about 404.3690220381.

Adding to 66120120 its reverse (2102166), we get a palindrome (68222286).

The spelling of 66120120 in words is "sixty-six million, one hundred twenty thousand, one hundred twenty".