120434430312 has 128 divisors (see below), whose sum is σ = 382520697600. Its totient is φ = 34392812544.

The previous prime is 120434430299. The next prime is 120434430323. The reversal of 120434430312 is 213034434021.

120434430312 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 344 + 3 + 0 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3212508 + ... + 3249780.

It is an arithmetic number, because the mean of its divisors is an integer number (2988442950).

Almost surely, 2^120434430312 is an apocalyptic number.

120434430312 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 120434430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191260348800).

120434430312 is an abundant number, since it is smaller than the sum of its proper divisors (262086267288).

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

120434430312 is a wasteful number, since it uses less digits than its factorization.

120434430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39432 (or 39422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 120434430312 its reverse (213034434021), we get a palindrome (333468864333).

The spelling of 120434430312 in words is "one hundred twenty billion, four hundred thirty-four million, four hundred thirty thousand, three hundred twelve".