120207456 has 72 divisors (see below), whose sum is σ = 351547560. Its totient is φ = 39961728.

The previous prime is 120207401. The next prime is 120207463. The reversal of 120207456 is 654702021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

120207456 is a `hidden beast` number, since 1 + 2 + 0 + 207 + 456 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 322086 + ... + 322458.

It is an arithmetic number, because the mean of its divisors is an integer number (4882605).

Almost surely, 2^120207456 is an apocalyptic number.

120207456 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 120207456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175773780).

120207456 is an abundant number, since it is smaller than the sum of its proper divisors (231340104).

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

120207456 is an frugal number, since it uses more digits than its factorization.

120207456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 120207456 is about 10963.9160886975. The cubic root of 120207456 is about 493.5264903880.

Adding to 120207456 its reverse (654702021), we get a palindrome (774909477).

The spelling of 120207456 in words is "one hundred twenty million, two hundred seven thousand, four hundred fifty-six".