120212064 has 72 divisors (see below), whose sum is σ = 390695760. Its totient is φ = 34345728.

The previous prime is 120212063. The next prime is 120212089. The reversal of 120212064 is 460212021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×120212064² = 28901880662280192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212063) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27799 + ... + 31830.

It is an arithmetic number, because the mean of its divisors is an integer number (5426330).

Almost surely, 2^120212064 is an apocalyptic number.

120212064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120212064 is an abundant number, since it is smaller than the sum of its proper divisors (270483696).

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

120212064 is a wasteful number, since it uses less digits than its factorization.

120212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59652 (or 59641 counting only the distinct ones).

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

The square root of 120212064 is about 10964.1262305758. The cubic root of 120212064 is about 493.5327965442.

Adding to 120212064 its reverse (460212021), we get a palindrome (580424085).

The spelling of 120212064 in words is "one hundred twenty million, two hundred twelve thousand, sixty-four".