123563896200 has 336 divisors, whose sum is σ = 435222391380. Its totient is φ = 32606945280.

The previous prime is 123563896193. The next prime is 123563896207. The reversal of 123563896200 is 2698365321.

123563896200 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 638 + 9 + 6 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123563896193) and next prime (123563896207).

It can be written as a sum of positive squares in 6 ways, for example, as 34486718436 + 89077177764 = 185706^2 + 298458^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (123563896207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14138232 + ... + 14146968.

Almost surely, 2^123563896200 is an apocalyptic number.

123563896200 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 123563896200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217611195690).

123563896200 is an abundant number, since it is smaller than the sum of its proper divisors (311658495180).

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

123563896200 is an equidigital number, since it uses as much as digits as its factorization.

123563896200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8868 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 123563896200 in words is "one hundred twenty-three billion, five hundred sixty-three million, eight hundred ninety-six thousand, two hundred".