123881520 has 160 divisors (see below), whose sum is σ = 462113280. Its totient is φ = 26818560.

The previous prime is 123881509. The next prime is 123881531. The reversal of 123881520 is 25188321.

It is an interprime number because it is at equal distance from previous prime (123881509) and next prime (123881531).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29980 + ... + 33860.

It is an arithmetic number, because the mean of its divisors is an integer number (2888208).

Almost surely, 2^123881520 is an apocalyptic number.

123881520 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 123881520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231056640).

123881520 is an abundant number, since it is smaller than the sum of its proper divisors (338231760).

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

123881520 is a wasteful number, since it uses less digits than its factorization.

123881520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3917 counting only the distinct ones).

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

The square root of 123881520 is about 11130.2075452347. The cubic root of 123881520 is about 498.5042230984.

The spelling of 123881520 in words is "one hundred twenty-three million, eight hundred eighty-one thousand, five hundred twenty".