123525216 has 48 divisors (see below), whose sum is σ = 360284400. Its totient is φ = 41174784.

The previous prime is 123525163. The next prime is 123525221. The reversal of 123525216 is 612525321.

It is a happy number.

123525216 is a `hidden beast` number, since 123 + 525 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 123525216.

It is a congruent number.

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, 70621 + ... + 72348.

It is an arithmetic number, because the mean of its divisors is an integer number (7505925).

Almost surely, 2^123525216 is an apocalyptic number.

123525216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123525216 is an abundant number, since it is smaller than the sum of its proper divisors (236759184).

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

123525216 is a wasteful number, since it uses less digits than its factorization.

123525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142988 (or 142974 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 123525216 is about 11114.1898490173. The cubic root of 123525216 is about 498.0258369524.

The spelling of 123525216 in words is "one hundred twenty-three million, five hundred twenty-five thousand, two hundred sixteen".