120347712 has 126 divisors (see below), whose sum is σ = 356289102. Its totient is φ = 38836224.

The previous prime is 120347681. The next prime is 120347713. The reversal of 120347712 is 217743021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68161536 + 52186176 = 8256^2 + 7224^2 .

It is not an unprimeable number, because it can be changed into a prime (120347713) 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 17 ways as a sum of consecutive naturals, for example, 1064968 + ... + 1065080.

Almost surely, 2^120347712 is an apocalyptic number.

120347712 is a gapful number since it is divisible by the number (12) 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 120347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178144551).

120347712 is an abundant number, since it is smaller than the sum of its proper divisors (235941390).

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

120347712 is a wasteful number, since it uses less digits than its factorization.

120347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 120347712 is about 10970.3104787422. The cubic root of 120347712 is about 493.7183618674.

The spelling of 120347712 in words is "one hundred twenty million, three hundred forty-seven thousand, seven hundred twelve".