123882150 has 96 divisors (see below), whose sum is σ = 354263040. Its totient is φ = 28062720.

The previous prime is 123882137. The next prime is 123882167. The reversal of 123882150 is 51288321.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 132886 + ... + 133814.

It is an arithmetic number, because the mean of its divisors is an integer number (3690240).

Almost surely, 2^123882150 is an apocalyptic number.

123882150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123882150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177131520).

123882150 is an abundant number, since it is smaller than the sum of its proper divisors (230380890).

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

123882150 is a wasteful number, since it uses less digits than its factorization.

123882150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 123882150 is about 11130.2358465578. The cubic root of 123882150 is about 498.5050681454.

The spelling of 123882150 in words is "one hundred twenty-three million, eight hundred eighty-two thousand, one hundred fifty".