120675456 has 192 divisors, whose sum is σ = 386661600. Its totient is φ = 35819520.

The previous prime is 120675449. The next prime is 120675481. The reversal of 120675456 is 654576021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120675456.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1127755 + ... + 1127861.

Almost surely, 2^120675456 is an apocalyptic number.

120675456 is a gapful number since it is divisible by the number (16) 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 120675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193330800).

120675456 is an abundant number, since it is smaller than the sum of its proper divisors (265986144).

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

120675456 is a wasteful number, since it uses less digits than its factorization.

120675456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 120675456 is about 10985.2380948253. The cubic root of 120675456 is about 494.1661381783.

It can be divided in two parts, 120 and 675456, that added together give a palindrome (675576).

The spelling of 120675456 in words is "one hundred twenty million, six hundred seventy-five thousand, four hundred fifty-six".