123451520 has 64 divisors (see below), whose sum is σ = 299635200. Its totient is φ = 48626688.

The previous prime is 123451487. The next prime is 123451553. The reversal of 123451520 is 25154321.

It is an interprime number because it is at equal distance from previous prime (123451487) and next prime (123451553).

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 14.

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 7 ways as a sum of consecutive naturals, for example, 41441 + ... + 44319.

It is an arithmetic number, because the mean of its divisors is an integer number (4681800).

Almost surely, 2^123451520 is an apocalyptic number.

123451520 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 123451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817600).

123451520 is an abundant number, since it is smaller than the sum of its proper divisors (176183680).

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

123451520 is an equidigital number, since it uses as much as digits as its factorization.

123451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 123451520 is about 11110.8739530246. The cubic root of 123451520 is about 497.9267753609.

The spelling of 123451520 in words is "one hundred twenty-three million, four hundred fifty-one thousand, five hundred twenty".