434260120120 has 128 divisors (see below), whose sum is σ = 1004270400000. Its totient is φ = 168943720960.

The previous prime is 434260120103. The next prime is 434260120207. The reversal of 434260120120 is 21021062434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289699131 + ... + 289700629.

It is an arithmetic number, because the mean of its divisors is an integer number (7845862500).

Almost surely, 2^434260120120 is an apocalyptic number.

434260120120 is a gapful number since it is divisible by the number (40) 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 434260120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502135200000).

434260120120 is an abundant number, since it is smaller than the sum of its proper divisors (570010279880).

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

434260120120 is a wasteful number, since it uses less digits than its factorization.

434260120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 434260120120 its reverse (21021062434), we get a palindrome (455281182554).

The spelling of 434260120120 in words is "four hundred thirty-four billion, two hundred sixty million, one hundred twenty thousand, one hundred twenty".