12106788470784 has 1024 divisors, whose sum is σ = 42334980864000. Its totient is φ = 3348124139520.

The previous prime is 12106788470783. The next prime is 12106788470797. The reversal of 12106788470784 is 48707488760121.

12106788470784 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 6 + 7 + 88 + 470 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106788470783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27578105637 + ... + 27578106075.

It is an arithmetic number, because the mean of its divisors is an integer number (41342754750).

Almost surely, 2^{12106788470784} is an apocalyptic number.

12106788470784 is a gapful number since it is divisible by the number (14) 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 12106788470784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167490432000).

12106788470784 is an abundant number, since it is smaller than the sum of its proper divisors (30228192393216).

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

12106788470784 is an frugal number, since it uses more digits than its factorization.

12106788470784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 12106788470784 in words is "twelve trillion, one hundred six billion, seven hundred eighty-eight million, four hundred seventy thousand, seven hundred eighty-four".