122113198080 has 384 divisors, whose sum is σ = 435490473600. Its totient is φ = 32457424896.

The previous prime is 122113198073. The next prime is 122113198087. The reversal of 122113198080 is 80891311221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122113198073) and next prime (122113198087).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (122113198087) 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 31 ways as a sum of consecutive naturals, for example, 122480142 + ... + 122481138.

It is an arithmetic number, because the mean of its divisors is an integer number (1134089775).

Almost surely, 2^122113198080 is an apocalyptic number.

122113198080 is a gapful number since it is divisible by the number (10) 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 122113198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217745236800).

122113198080 is an abundant number, since it is smaller than the sum of its proper divisors (313377275520).

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

122113198080 is an equidigital number, since it uses as much as digits as its factorization.

122113198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 122113198080 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred ninety-eight thousand, eighty".