12022108005096 has 512 divisors, whose sum is σ = 40473818112000. Its totient is φ = 3229901568000.

The previous prime is 12022108005091. The next prime is 12022108005101. The reversal of 12022108005096 is 69050080122021.

12022108005096 is a `hidden beast` number, since 1 + 20 + 22 + 108 + 0 + 0 + 509 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12022108005091) and next prime (12022108005101).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12022108005096.

It is not an unprimeable number, because it can be changed into a prime (12022108005091) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3125058645 + ... + 3125062491.

It is an arithmetic number, because the mean of its divisors is an integer number (79050426000).

Almost surely, 2^{12022108005096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022108005096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20236909056000).

12022108005096 is an abundant number, since it is smaller than the sum of its proper divisors (28451710106904).

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

12022108005096 is a wasteful number, since it uses less digits than its factorization.

12022108005096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12022108005096 in words is "twelve trillion, twenty-two billion, one hundred eight million, five thousand, ninety-six".