123381440 has 224 divisors, whose sum is σ = 382341120. Its totient is φ = 36827136.

The previous prime is 123381431. The next prime is 123381443. The reversal of 123381440 is 44183321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (123381443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 553169 + ... + 553391.

It is an arithmetic number, because the mean of its divisors is an integer number (1706880).

Almost surely, 2^123381440 is an apocalyptic number.

123381440 is a gapful number since it is divisible by the number (10) 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 123381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170560).

123381440 is an abundant number, since it is smaller than the sum of its proper divisors (258959680).

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

123381440 is a wasteful number, since it uses less digits than its factorization.

123381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 123381440 is about 11107.7198380226. The cubic root of 123381440 is about 497.8325377918.

The spelling of 123381440 in words is "one hundred twenty-three million, three hundred eighty-one thousand, four hundred forty".