120542112 has 72 divisors (see below), whose sum is σ = 347963616. Its totient is φ = 39574656.

The previous prime is 120542101. The next prime is 120542129. The reversal of 120542112 is 211245021.

120542112 is a `hidden beast` number, since 12 + 0 + 542 + 112 = 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16173 + ... + 22419.

It is an arithmetic number, because the mean of its divisors is an integer number (4832828).

Almost surely, 2^120542112 is an apocalyptic number.

120542112 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 120542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173981808).

120542112 is an abundant number, since it is smaller than the sum of its proper divisors (227421504).

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

120542112 is a wasteful number, since it uses less digits than its factorization.

120542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120542112 is about 10979.1671815307. The cubic root of 120542112 is about 493.9840564825.

Adding to 120542112 its reverse (211245021), we get a palindrome (331787133).

The spelling of 120542112 in words is "one hundred twenty million, five hundred forty-two thousand, one hundred twelve".