12175138800 has 360 divisors, whose sum is σ = 46969882128. Its totient is φ = 2895360000.

The previous prime is 12175138753. The next prime is 12175138823. The reversal of 12175138800 is 883157121.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095900 + ... + 2101700.

Almost surely, 2^12175138800 is an apocalyptic number.

12175138800 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 12175138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484941064).

12175138800 is an abundant number, since it is smaller than the sum of its proper divisors (34794743328).

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

12175138800 is a wasteful number, since it uses less digits than its factorization.

12175138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

It can be divided in two parts, 12175 and 138800, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 12175138800 in words is "twelve billion, one hundred seventy-five million, one hundred thirty-eight thousand, eight hundred".