120304434432 has 288 divisors, whose sum is σ = 411213293568. Its totient is φ = 30348730368.

The previous prime is 120304434407. The next prime is 120304434473. The reversal of 120304434432 is 234434403021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120304434432.

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, 1570003 + ... + 1644845.

It is an arithmetic number, because the mean of its divisors is an integer number (1427823936).

Almost surely, 2^120304434432 is an apocalyptic number.

120304434432 is a gapful number since it is divisible by the number (12) 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 120304434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205606646784).

120304434432 is an abundant number, since it is smaller than the sum of its proper divisors (290908859136).

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

120304434432 is a wasteful number, since it uses less digits than its factorization.

120304434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74905 (or 74891 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 120304434432 its reverse (234434403021), we get a palindrome (354738837453).

The spelling of 120304434432 in words is "one hundred twenty billion, three hundred four million, four hundred thirty-four thousand, four hundred thirty-two".