123180948 has 72 divisors (see below), whose sum is σ = 341621280. Its totient is φ = 37114560.

The previous prime is 123180943. The next prime is 123180989. The reversal of 123180948 is 849081321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123180943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77223 + ... + 78801.

It is an arithmetic number, because the mean of its divisors is an integer number (4744740).

Almost surely, 2^123180948 is an apocalyptic number.

123180948 is a gapful number since it is divisible by the number (18) 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 123180948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170810640).

123180948 is an abundant number, since it is smaller than the sum of its proper divisors (218440332).

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

123180948 is a wasteful number, since it uses less digits than its factorization.

123180948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 123180948 is about 11098.6912741999. The cubic root of 123180948 is about 497.5627361269.

The spelling of 123180948 in words is "one hundred twenty-three million, one hundred eighty thousand, nine hundred forty-eight".