1014430120 has 96 divisors (see below), whose sum is σ = 2656621800. Its totient is φ = 347156480.

The previous prime is 1014430117. The next prime is 1014430127. The reversal of 1014430120 is 210344101.

It can be written as a sum of positive squares in 4 ways, for example, as 603881476 + 410548644 = 24574^2 + 20262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1014430094 and 1014430103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014430127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76116 + ... + 88444.

Almost surely, 2^1014430120 is an apocalyptic number.

1014430120 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 1014430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328310900).

1014430120 is an abundant number, since it is smaller than the sum of its proper divisors (1642191680).

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

1014430120 is a wasteful number, since it uses less digits than its factorization.

1014430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1014430120 is about 31850.1196230093. The cubic root of 1014430120 is about 1004.7870872286.

Adding to 1014430120 its reverse (210344101), we get a palindrome (1224774221).

It can be divided in two parts, 1014 and 430120, that added together give a palindrome (431134).

The spelling of 1014430120 in words is "one billion, fourteen million, four hundred thirty thousand, one hundred twenty".