12179946240 has 1152 divisors, whose sum is σ = 56512512000. Its totient is φ = 2408693760.

The previous prime is 12179946197. The next prime is 12179946299. The reversal of 12179946240 is 4264997121.

12179946240 is a `hidden beast` number, since 1 + 2 + 17 + 9 + 9 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61205661 + ... + 61205859.

It is an arithmetic number, because the mean of its divisors is an integer number (49056000).

Almost surely, 2^12179946240 is an apocalyptic number.

12179946240 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 12179946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28256256000).

12179946240 is an abundant number, since it is smaller than the sum of its proper divisors (44332565760).

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

12179946240 is a wasteful number, since it uses less digits than its factorization.

12179946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12179946240 in words is "twelve billion, one hundred seventy-nine million, nine hundred forty-six thousand, two hundred forty".