120021430032 has 240 divisors, whose sum is σ = 398229511680. Its totient is φ = 33031065600.

The previous prime is 120021429967. The next prime is 120021430043. The reversal of 120021430032 is 230034120021.

120021430032 is a `hidden beast` number, since 1 + 200 + 2 + 1 + 430 + 0 + 32 = 666.

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 = 120021429987 and 120021430014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3246532 + ... + 3283292.

It is an arithmetic number, because the mean of its divisors is an integer number (1659289632).

Almost surely, 2^120021430032 is an apocalyptic number.

120021430032 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 120021430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199114755840).

120021430032 is an abundant number, since it is smaller than the sum of its proper divisors (278208081648).

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

120021430032 is a wasteful number, since it uses less digits than its factorization.

120021430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36902 (or 36893 counting only the distinct ones).

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

Adding to 120021430032 its reverse (230034120021), we get a palindrome (350055550053).

The spelling of 120021430032 in words is "one hundred twenty billion, twenty-one million, four hundred thirty thousand, thirty-two".