122228819856 has 300 divisors, whose sum is σ = 418768376796. Its totient is φ = 34189309440.

The previous prime is 122228819849. The next prime is 122228819887. The reversal of 122228819856 is 658918822221.

122228819856 is a `hidden beast` number, since 1 + 222 + 288 + 1 + 98 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25594880256 + 96633939600 = 159984^2 + 310860^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2008630 + ... + 2068586.

Almost surely, 2^122228819856 is an apocalyptic number.

122228819856 is a gapful number since it is divisible by the number (16) 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 122228819856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209384188398).

122228819856 is an abundant number, since it is smaller than the sum of its proper divisors (296539556940).

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

122228819856 is a wasteful number, since it uses less digits than its factorization.

122228819856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60012 (or 59986 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 122228819856 in words is "one hundred twenty-two billion, two hundred twenty-eight million, eight hundred nineteen thousand, eight hundred fifty-six".