120846132 has 144 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 33223680.

The previous prime is 120846119. The next prime is 120846157. The reversal of 120846132 is 231648021.

It is a super-2 number, since 2×120846132² = 29207575238722848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120846096 and 120846105.

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 47 ways as a sum of consecutive naturals, for example, 194919 + ... + 195537.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^120846132 is an apocalyptic number.

120846132 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 120846132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

120846132 is an abundant number, since it is smaller than the sum of its proper divisors (244755468).

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

120846132 is a wasteful number, since it uses less digits than its factorization.

120846132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120846132 is about 10993.0037751290. The cubic root of 120846132 is about 494.3990012391.

The spelling of 120846132 in words is "one hundred twenty million, eight hundred forty-six thousand, one hundred thirty-two".