120032023000032 has 576 divisors, whose sum is σ = 432616811530176. Its totient is φ = 31004125102080.

The previous prime is 120032023000013. The next prime is 120032023000061. The reversal of 120032023000032 is 230000320230021.

It is a happy number.

120032023000032 is a `hidden beast` number, since 12 + 0 + 0 + 320 + 2 + 300 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×120032023000032² (a number of 29 digits) contains 22 as substring.

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 = 120032022999969 and 120032023000014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35489398 + ... + 38724170.

It is an arithmetic number, because the mean of its divisors is an integer number (751070853351).

Almost surely, 2^{120032023000032} is an apocalyptic number.

120032023000032 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 120032023000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216308405765088).

120032023000032 is an abundant number, since it is smaller than the sum of its proper divisors (312584788530144).

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

120032023000032 is a wasteful number, since it uses less digits than its factorization.

120032023000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234883 (or 3234872 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 120032023000032 its reverse (230000320230021), we get a palindrome (350032343230053).

The spelling of 120032023000032 in words is "one hundred twenty trillion, thirty-two billion, twenty-three million, thirty-two", and thus it is an aban number.