114442120 has 64 divisors (see below), whose sum is σ = 286902000. Its totient is φ = 40793088.

The previous prime is 114442051. The next prime is 114442127. The reversal of 114442120 is 21244411.

It can be written as a sum of positive squares in 8 ways, for example, as 4318084 + 110124036 = 2078^2 + 10494^2 .

It is not an unprimeable number, because it can be changed into a prime (114442127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11286 + ... + 18874.

Almost surely, 2^114442120 is an apocalyptic number.

114442120 is a gapful number since it is divisible by the number (10) 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 114442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143451000).

114442120 is an abundant number, since it is smaller than the sum of its proper divisors (172459880).

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

114442120 is a wasteful number, since it uses less digits than its factorization.

114442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 114442120 is about 10697.7623828537. The cubic root of 114442120 is about 485.5067788850.

Adding to 114442120 its reverse (21244411), we get a palindrome (135686531).

It can be divided in two parts, 1144 and 42120, that added together give a square (43264 = 208²).

The spelling of 114442120 in words is "one hundred fourteen million, four hundred forty-two thousand, one hundred twenty".