12188622885120 has 1728 divisors, whose sum is σ = 49193011445760. Its totient is φ = 2757264998400.

The previous prime is 12188622885113. The next prime is 12188622885137. The reversal of 12188622885120 is 2158822688121.

12188622885120 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 8 + 622 + 8 + 8 + 5 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31824080449 + ... + 31824080831.

It is an arithmetic number, because the mean of its divisors is an integer number (28468177920).

Almost surely, 2^{12188622885120} is an apocalyptic number.

12188622885120 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 12188622885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24596505722880).

12188622885120 is an abundant number, since it is smaller than the sum of its proper divisors (37004388560640).

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

12188622885120 is a wasteful number, since it uses less digits than its factorization.

12188622885120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 12188622885120 in words is "twelve trillion, one hundred eighty-eight billion, six hundred twenty-two million, eight hundred eighty-five thousand, one hundred twenty".