64122120 has 48 divisors (see below), whose sum is σ = 208398060. Its totient is φ = 17099136.

The previous prime is 64122109. The next prime is 64122143. The reversal of 64122120 is 2122146.

64122120 is a `hidden beast` number, since 641 + 2 + 2 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55086084 + 9036036 = 7422^2 + 3006^2 .

It is a super-2 number, since 2×64122120² = 8223292546588800, which contains 22 as substring.

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 = 64122093 and 64122102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88699 + ... + 89418.

Almost surely, 2^64122120 is an apocalyptic number.

64122120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64122120 is an abundant number, since it is smaller than the sum of its proper divisors (144275940).

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

64122120 is a wasteful number, since it uses less digits than its factorization.

64122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178134 (or 178127 counting only the distinct ones).

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

The square root of 64122120 is about 8007.6288625285. The cubic root of 64122120 is about 400.2542550184.

Adding to 64122120 its reverse (2122146), we get a palindrome (66244266).

The spelling of 64122120 in words is "sixty-four million, one hundred twenty-two thousand, one hundred twenty".