123575040 has 216 divisors, whose sum is σ = 453424608. Its totient is φ = 30965760.

The previous prime is 123575033. The next prime is 123575047. The reversal of 123575040 is 40575321.

It is a happy number.

123575040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (123575033) and next prime (123575047).

It is a super-2 number, since 2×123575040² = 30541581022003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123574995 and 123575013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123575047) 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 23 ways as a sum of consecutive naturals, for example, 195525 + ... + 196155.

It is an arithmetic number, because the mean of its divisors is an integer number (2099188).

Almost surely, 2^123575040 is an apocalyptic number.

123575040 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 123575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226712304).

123575040 is an abundant number, since it is smaller than the sum of its proper divisors (329849568).

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

123575040 is a wasteful number, since it uses less digits than its factorization.

123575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 123575040 is about 11116.4310819615. The cubic root of 123575040 is about 498.0927876654.

The spelling of 123575040 in words is "one hundred twenty-three million, five hundred seventy-five thousand, forty".