120034420 has 72 divisors (see below), whose sum is σ = 279590472. Its totient is φ = 43253760.

The previous prime is 120034403. The next prime is 120034427. The reversal of 120034420 is 24430021.

It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 90744676 = 5412^2 + 9526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120034394 and 120034403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120034427) 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, 466932 + ... + 467188.

It is an arithmetic number, because the mean of its divisors is an integer number (3883201).

Almost surely, 2^120034420 is an apocalyptic number.

120034420 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 120034420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139795236).

120034420 is an abundant number, since it is smaller than the sum of its proper divisors (159556052).

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

120034420 is a wasteful number, since it uses less digits than its factorization.

120034420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 120034420 is about 10956.0220883311. The cubic root of 120034420 is about 493.2895698132.

Adding to 120034420 its reverse (24430021), we get a palindrome (144464441).

The spelling of 120034420 in words is "one hundred twenty million, thirty-four thousand, four hundred twenty".