1234434120 has 128 divisors (see below), whose sum is σ = 3767472000. Its totient is φ = 323532800.

The previous prime is 1234434101. The next prime is 1234434121. The reversal of 1234434120 is 214344321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1234434121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169196 + ... + 2169764.

It is an arithmetic number, because the mean of its divisors is an integer number (29433375).

Almost surely, 2^1234434120 is an apocalyptic number.

1234434120 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 1234434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883736000).

1234434120 is an abundant number, since it is smaller than the sum of its proper divisors (2533037880).

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

1234434120 is a wasteful number, since it uses less digits than its factorization.

1234434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1234434120 is about 35134.5146543965. The cubic root of 1234434120 is about 1072.7272321868.

Adding to 1234434120 its reverse (214344321), we get a palindrome (1448778441).

It can be divided in two parts, 12344 and 34120, that added together give a palindrome (46464).

The spelling of 1234434120 in words is "one billion, two hundred thirty-four million, four hundred thirty-four thousand, one hundred twenty".