123485952 has 36 divisors (see below), whose sum is σ = 328654760. Its totient is φ = 41161728.

The previous prime is 123485951. The next prime is 123486007. The reversal of 123485952 is 259584321.

It is a super-3 number, since 3×123485952³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123485952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123485951) 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 3 ways as a sum of consecutive naturals, for example, 79627 + ... + 81162.

Almost surely, 2^123485952 is an apocalyptic number.

123485952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123485952 is an abundant number, since it is smaller than the sum of its proper divisors (205168808).

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

123485952 is an equidigital number, since it uses as much as digits as its factorization.

123485952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160808 (or 160794 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 123485952 is about 11112.4233180706. The cubic root of 123485952 is about 497.9730634936.

The spelling of 123485952 in words is "one hundred twenty-three million, four hundred eighty-five thousand, nine hundred fifty-two".