123500280355200 has 2304 divisors, whose sum is σ = 540328833408000. Its totient is φ = 27837552476160.

The previous prime is 123500280355147. The next prime is 123500280355261. The reversal of 123500280355200 is 2553082005321.

123500280355200 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 0 + 0 + 280 + 355 + 20 + 0 = 666.

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

It is a congruent number.

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, 19470323229 + ... + 19470329571.

Almost surely, 2^{123500280355200} is an apocalyptic number.

123500280355200 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 123500280355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270164416704000).

123500280355200 is an abundant number, since it is smaller than the sum of its proper divisors (416828553052800).

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

123500280355200 is an frugal number, since it uses more digits than its factorization.

123500280355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 123500280355200 in words is "one hundred twenty-three trillion, five hundred billion, two hundred eighty million, three hundred fifty-five thousand, two hundred".