123561600 has 192 divisors, whose sum is σ = 415613280. Its totient is φ = 32256000.

The previous prime is 123561587. The next prime is 123561671. The reversal of 123561600 is 6165321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 585495 + ... + 585705.

Almost surely, 2^123561600 is an apocalyptic number.

123561600 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 123561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207806640).

123561600 is an abundant number, since it is smaller than the sum of its proper divisors (292051680).

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

123561600 is a wasteful number, since it uses less digits than its factorization.

123561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 123561600 is about 11115.8265549621. The cubic root of 123561600 is about 498.0747295156.

It can be divided in two parts, 1235 and 61600, that added together give a triangular number (62835 = T₃₅₄).

The spelling of 123561600 in words is "one hundred twenty-three million, five hundred sixty-one thousand, six hundred".