120413262132 has 108 divisors (see below), whose sum is σ = 313569430720. Its totient is φ = 38954788704.

The previous prime is 120413262119. The next prime is 120413262157. The reversal of 120413262132 is 231262314021.

120413262132 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 3 + 2 + 621 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120413262096 and 120413262105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9893883 + ... + 9906045.

Almost surely, 2^120413262132 is an apocalyptic number.

120413262132 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 120413262132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156784715360).

120413262132 is an abundant number, since it is smaller than the sum of its proper divisors (193156168588).

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

120413262132 is a wasteful number, since it uses less digits than its factorization.

120413262132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120413262132 its reverse (231262314021), we get a palindrome (351675576153).

The spelling of 120413262132 in words is "one hundred twenty billion, four hundred thirteen million, two hundred sixty-two thousand, one hundred thirty-two".