122209855488 has 288 divisors, whose sum is σ = 418340220480. Its totient is φ = 34916106240.

The previous prime is 122209855487. The next prime is 122209855499. The reversal of 122209855488 is 884558902221.

122209855488 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 0 + 9 + 8 + 554 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (122209855487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3466108 + ... + 3501188.

It is an arithmetic number, because the mean of its divisors is an integer number (1452570210).

Almost surely, 2^122209855488 is an apocalyptic number.

122209855488 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 122209855488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209170110240).

122209855488 is an abundant number, since it is smaller than the sum of its proper divisors (296130364992).

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

122209855488 is an frugal number, since it uses more digits than its factorization.

122209855488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35125 (or 35093 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 122209855488 in words is "one hundred twenty-two billion, two hundred nine million, eight hundred fifty-five thousand, four hundred eighty-eight".