123285254400 has 2187 divisors, whose sum is σ = 594808845813. Its totient is φ = 24269414400.

The previous prime is 123285254387. The next prime is 123285254429. The reversal of 123285254400 is 4452582321.

The square root of 123285254400 is 351120.

It is a perfect power (a square), and thus also a powerful number.

123285254400 is a `hidden beast` number, since 1 + 2 + 32 + 85 + 2 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44382691584 + 78902562816 = 210672^2 + 280896^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6488697591 + ... + 6488697609.

Almost surely, 2^123285254400 is an apocalyptic number.

123285254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123285254400 is the 351120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123285254400

123285254400 is an abundant number, since it is smaller than the sum of its proper divisors (471523591413).

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

123285254400 is a wasteful number, since it uses less digits than its factorization.

123285254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 123285254400 by its sum of digits (36), we get a square (4438269158400 = 2106720²).

123285254400 divided by its sum of digits (36) gives a square (3424590400 = 58520²).

The spelling of 123285254400 in words is "one hundred twenty-three billion, two hundred eighty-five million, two hundred fifty-four thousand, four hundred".