120034120032 has 72 divisors (see below), whose sum is σ = 356188223664. Its totient is φ = 38271746304.

The previous prime is 120034120021. The next prime is 120034120051. The reversal of 120034120032 is 230021430021.

120034120032 is a `hidden beast` number, since 120 + 0 + 341 + 200 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120034119987 and 120034120014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9053923 + ... + 9067170.

It is an arithmetic number, because the mean of its divisors is an integer number (4947058662).

Almost surely, 2^120034120032 is an apocalyptic number.

120034120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120034120032 is an abundant number, since it is smaller than the sum of its proper divisors (236154103632).

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

120034120032 is a wasteful number, since it uses less digits than its factorization.

120034120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121132 (or 18121121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120034120032 its reverse (230021430021), we get a palindrome (350055550053).

The spelling of 120034120032 in words is "one hundred twenty billion, thirty-four million, one hundred twenty thousand, thirty-two".