123801600 has 312 divisors, whose sum is σ = 455026432. Its totient is φ = 29491200.

The previous prime is 123801589. The next prime is 123801637. The reversal of 123801600 is 6108321.

It is a tau number, because it is divible by the number of its divisors (312).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3993585 + ... + 3993615.

Almost surely, 2^123801600 is an apocalyptic number.

123801600 is a gapful number since it is divisible by the number (10) 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 123801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227513216).

123801600 is an abundant number, since it is smaller than the sum of its proper divisors (331224832).

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

123801600 is a wasteful number, since it uses less digits than its factorization.

123801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 123801600 is about 11126.6167364568. The cubic root of 123801600 is about 498.3969996049.

Adding to 123801600 its reverse (6108321), we get a palindrome (129909921).

The spelling of 123801600 in words is "one hundred twenty-three million, eight hundred one thousand, six hundred".