120052703232 has 1344 divisors, whose sum is σ = 484097990400. Its totient is φ = 28983951360.

The previous prime is 120052703207. The next prime is 120052703261. The reversal of 120052703232 is 232307250021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×120052703232³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120052703196 and 120052703205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2265145318 + ... + 2265145370.

Almost surely, 2^120052703232 is an apocalyptic number.

120052703232 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 120052703232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242048995200).

120052703232 is an abundant number, since it is smaller than the sum of its proper divisors (364045287168).

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

120052703232 is a wasteful number, since it uses less digits than its factorization.

120052703232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 120052703232 its reverse (232307250021), we get a palindrome (352359953253).

The spelling of 120052703232 in words is "one hundred twenty billion, fifty-two million, seven hundred three thousand, two hundred thirty-two".