12123729180 has 216 divisors, whose sum is σ = 40768352352. Its totient is φ = 2910234624.

The previous prime is 12123729173. The next prime is 12123729217. The reversal of 12123729180 is 8192732121.

12123729180 is a `hidden beast` number, since 121 + 2 + 372 + 91 + 80 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1191394 + ... + 1201526.

It is an arithmetic number, because the mean of its divisors is an integer number (188742372).

Almost surely, 2^12123729180 is an apocalyptic number.

12123729180 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 12123729180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384176176).

12123729180 is an abundant number, since it is smaller than the sum of its proper divisors (28644623172).

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

12123729180 is a wasteful number, since it uses less digits than its factorization.

12123729180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12123729180 in words is "twelve billion, one hundred twenty-three million, seven hundred twenty-nine thousand, one hundred eighty".