123777248 has 96 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 49641984.

The previous prime is 123777233. The next prime is 123777259. The reversal of 123777248 is 842777321.

Its product of digits (131712) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540398 + ... + 540626.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 2^123777248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123777248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377600).

123777248 is an abundant number, since it is smaller than the sum of its proper divisors (172977952).

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

123777248 is a wasteful number, since it uses less digits than its factorization.

123777248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 131712, while the sum is 41.

The square root of 123777248 is about 11125.5223697586. The cubic root of 123777248 is about 498.3643189298.

The spelling of 123777248 in words is "one hundred twenty-three million, seven hundred seventy-seven thousand, two hundred forty-eight".