120117672 has 24 divisors (see below), whose sum is σ = 325318890. Its totient is φ = 40039200.

The previous prime is 120117671. The next prime is 120117737. The reversal of 120117672 is 276711021.

It can be written as a sum of positive squares in only one way, i.e., 108868356 + 11249316 = 10434^2 + 3354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (120117671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 834079 + ... + 834222.

Almost surely, 2^120117672 is an apocalyptic number.

120117672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120117672 is an abundant number, since it is smaller than the sum of its proper divisors (205201218).

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

120117672 is a wasteful number, since it uses less digits than its factorization.

120117672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668313 (or 1668306 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 120117672 is about 10959.8208014547. The cubic root of 120117672 is about 493.4035866999.

Adding to 120117672 its reverse (276711021), we get a palindrome (396828693).

It can be divided in two parts, 12011 and 7672, that added together give a 9-th power (19683 = 3⁹).

The spelling of 120117672 in words is "one hundred twenty million, one hundred seventeen thousand, six hundred seventy-two".