123420816 has 60 divisors (see below), whose sum is σ = 365732172. Its totient is φ = 38719488.

The previous prime is 123420779. The next prime is 123420821. The reversal of 123420816 is 618024321.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 54464400 = 8304^2 + 7380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123420816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22761 + ... + 27656.

Almost surely, 2^123420816 is an apocalyptic number.

123420816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123420816 is an abundant number, since it is smaller than the sum of its proper divisors (242311356).

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

123420816 is a wasteful number, since it uses less digits than its factorization.

123420816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50448 (or 50439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123420816 is about 11109.4921576101. The cubic root of 123420816 is about 497.8854916479.

The spelling of 123420816 in words is "one hundred twenty-three million, four hundred twenty thousand, eight hundred sixteen".