123738199200 has 1728 divisors, whose sum is σ = 607191137280. Its totient is φ = 22892544000.

The previous prime is 123738199187. The next prime is 123738199231. The reversal of 123738199200 is 2991837321.

123738199200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123738199200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 179070855 + ... + 179071545.

It is an arithmetic number, because the mean of its divisors is an integer number (351383760).

Almost surely, 2^123738199200 is an apocalyptic number.

123738199200 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 123738199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303595568640).

123738199200 is an abundant number, since it is smaller than the sum of its proper divisors (483452938080).

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

123738199200 is a wasteful number, since it uses less digits than its factorization.

123738199200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 123738199200 in words is "one hundred twenty-three billion, seven hundred thirty-eight million, one hundred ninety-nine thousand, two hundred".