122895566208 has 96 divisors (see below), whose sum is σ = 354922410960. Its totient is φ = 40817193984.

The previous prime is 122895566203. The next prime is 122895566221. The reversal of 122895566208 is 802665598221.

122895566208 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 5 + 5 + 6 + 620 + 8 = 666.

122895566208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122895566208² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122895566203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126541 + ... + 511667.

Almost surely, 2^122895566208 is an apocalyptic number.

122895566208 is a gapful number since it is divisible by the number (18) 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 122895566208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177461205480).

122895566208 is an abundant number, since it is smaller than the sum of its proper divisors (232026844752).

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

122895566208 is a wasteful number, since it uses less digits than its factorization.

122895566208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385424 (or 385409 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 122895566208 in words is "one hundred twenty-two billion, eight hundred ninety-five million, five hundred sixty-six thousand, two hundred eight".