123952512 has 64 divisors (see below), whose sum is σ = 337322160. Its totient is φ = 40304640.

The previous prime is 123952487. The next prime is 123952519. The reversal of 123952512 is 215259321.

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

It is a super-2 number, since 2×123952512² = 30728450462220288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123952512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123952519) 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 7 ways as a sum of consecutive naturals, for example, 11808 + ... + 19680.

Almost surely, 2^123952512 is an apocalyptic number.

123952512 is a gapful number since it is divisible by the number (12) 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 123952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168661080).

123952512 is an abundant number, since it is smaller than the sum of its proper divisors (213369648).

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

123952512 is an equidigital number, since it uses as much as digits as its factorization.

123952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7931 (or 7919 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 123952512 is about 11133.3962473272. The cubic root of 123952512 is about 498.5994298027.

It can be divided in two parts, 123 and 952512, that multiplied together give a square (117158976 = 10824²).

The spelling of 123952512 in words is "one hundred twenty-three million, nine hundred fifty-two thousand, five hundred twelve".