180122952 has 32 divisors (see below), whose sum is σ = 450777600. Its totient is φ = 59978304.

The previous prime is 180122951. The next prime is 180122977. The reversal of 180122952 is 259221081.

180122952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (180122951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23449 + ... + 30167.

It is an arithmetic number, because the mean of its divisors is an integer number (14086800).

Almost surely, 2^180122952 is an apocalyptic number.

180122952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180122952 is an abundant number, since it is smaller than the sum of its proper divisors (270654648).

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

180122952 is a wasteful number, since it uses less digits than its factorization.

180122952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 180122952 is about 13420.9892332868. The cubic root of 180122952 is about 564.7501461372.

It can be divided in two parts, 1801 and 22952, that added together give a triangular number (24753 = T₂₂₂).

The spelling of 180122952 in words is "one hundred eighty million, one hundred twenty-two thousand, nine hundred fifty-two".