1142120112 has 160 divisors (see below), whose sum is σ = 3631910400. Its totient is φ = 301830144.

The previous prime is 1142120093. The next prime is 1142120117. The reversal of 1142120112 is 2110212411.

It is a junction number, because it is equal to n+sod(n) for n = 1142120091 and 1142120100.

It is not an unprimeable number, because it can be changed into a prime (1142120117) 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 31 ways as a sum of consecutive naturals, for example, 335314 + ... + 338702.

It is an arithmetic number, because the mean of its divisors is an integer number (22699440).

Almost surely, 2^1142120112 is an apocalyptic number.

1142120112 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 1142120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815955200).

1142120112 is an abundant number, since it is smaller than the sum of its proper divisors (2489790288).

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

1142120112 is a wasteful number, since it uses less digits than its factorization.

1142120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1142120112 is about 33795.2675976978. The cubic root of 1142120112 is about 1045.2911170491.

Adding to 1142120112 its reverse (2110212411), we get a palindrome (3252332523).

The spelling of 1142120112 in words is "one billion, one hundred forty-two million, one hundred twenty thousand, one hundred twelve".