123071520 has 288 divisors, whose sum is σ = 461716416. Its totient is φ = 27371520.

The previous prime is 123071513. The next prime is 123071527. The reversal of 123071520 is 25170321.

It is an interprime number because it is at equal distance from previous prime (123071513) and next prime (123071527).

It is a super-2 number, since 2×123071520² = 30293198070220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123071527) 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 47 ways as a sum of consecutive naturals, for example, 754959 + ... + 755121.

It is an arithmetic number, because the mean of its divisors is an integer number (1603182).

Almost surely, 2^123071520 is an apocalyptic number.

123071520 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 123071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230858208).

123071520 is an abundant number, since it is smaller than the sum of its proper divisors (338644896).

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

123071520 is a wasteful number, since it uses less digits than its factorization.

123071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 123071520 is about 11093.7604084458. The cubic root of 123071520 is about 497.4153555817.

The spelling of 123071520 in words is "one hundred twenty-three million, seventy-one thousand, five hundred twenty".